org.apache.commons.math.linear
Interface RealMatrix

All Superinterfaces:

AnyMatrix

All Known Subinterfaces:

SparseRealMatrix

All Known Implementing Classes:

AbstractRealMatrix, Array2DRowRealMatrix, BlockRealMatrix, OpenMapRealMatrix, RealMatrixImpl

public interface RealMatrix
extends AnyMatrix

Interface defining a real-valued matrix with basic algebraic operations.

Matrix element indexing is 0-based -- e.g., getEntry(0, 0) returns the element in the first row, first column of the matrix.

Version:

$Revision: 1073158 $ $Date: 2011-02-21 22:46:52 +0100 (lun. 21 févr. 2011) $

Method Summary

RealMatrix	add(RealMatrix m) Compute the sum of this and m.
void	addToEntry(int row, int column, double increment) Change an entry in the specified row and column.
RealMatrix	copy() Returns a (deep) copy of this.
void	copySubMatrix(int[] selectedRows, int[] selectedColumns, double[][] destination) Copy a submatrix.
void	copySubMatrix(int startRow, int endRow, int startColumn, int endColumn, double[][] destination) Copy a submatrix.
RealMatrix	createMatrix(int rowDimension, int columnDimension) Create a new RealMatrix of the same type as the instance with the supplied row and column dimensions.
double[]	getColumn(int column) Returns the entries in column number col as an array.
RealMatrix	getColumnMatrix(int column) Returns the entries in column number column as a column matrix.
RealVector	getColumnVector(int column) Returns the entries in column number column as a vector.
double[][]	getData() Returns matrix entries as a two-dimensional array.
double	getDeterminant() Deprecated. as of release 2.0, replaced by new LUDecompositionImpl(m).getDeterminant()
double	getEntry(int row, int column) Returns the entry in the specified row and column.
double	getFrobeniusNorm() Returns the Frobenius norm of the matrix.
double	getNorm() Returns the maximum absolute row sum norm of the matrix.
double[]	getRow(int row) Returns the entries in row number row as an array.
RealMatrix	getRowMatrix(int row) Returns the entries in row number row as a row matrix.
RealVector	getRowVector(int row) Returns the entries in row number row as a vector.
RealMatrix	getSubMatrix(int[] selectedRows, int[] selectedColumns) Gets a submatrix.
RealMatrix	getSubMatrix(int startRow, int endRow, int startColumn, int endColumn) Gets a submatrix.
double	getTrace() Returns the trace of the matrix (the sum of the elements on the main diagonal).
RealMatrix	inverse() Deprecated. as of release 2.0, replaced by new LUDecompositionImpl(m).getSolver().getInverse()
boolean	isSingular() Deprecated. as of release 2.0, replaced by the boolean negation of new LUDecompositionImpl(m).getSolver().isNonSingular()
RealMatrix	multiply(RealMatrix m) Returns the result of postmultiplying this by m.
void	multiplyEntry(int row, int column, double factor) Change an entry in the specified row and column.
double[]	operate(double[] v) Returns the result of multiplying this by the vector v.
RealVector	operate(RealVector v) Returns the result of multiplying this by the vector v.
double[]	preMultiply(double[] v) Returns the (row) vector result of premultiplying this by the vector v.
RealMatrix	preMultiply(RealMatrix m) Returns the result premultiplying this by m.
RealVector	preMultiply(RealVector v) Returns the (row) vector result of premultiplying this by the vector v.
RealMatrix	scalarAdd(double d) Returns the result of adding d to each entry of this.
RealMatrix	scalarMultiply(double d) Returns the result multiplying each entry of this by d.
void	setColumn(int column, double[] array) Sets the entries in column number column as a column matrix.
void	setColumnMatrix(int column, RealMatrix matrix) Sets the entries in column number column as a column matrix.
void	setColumnVector(int column, RealVector vector) Sets the entries in column number column as a vector.
void	setEntry(int row, int column, double value) Set the entry in the specified row and column.
void	setRow(int row, double[] array) Sets the entries in row number row as a row matrix.
void	setRowMatrix(int row, RealMatrix matrix) Sets the entries in row number row as a row matrix.
void	setRowVector(int row, RealVector vector) Sets the entries in row number row as a vector.
void	setSubMatrix(double[][] subMatrix, int row, int column) Replace the submatrix starting at row, column using data in the input subMatrix array.
double[]	solve(double[] b) Deprecated. as of release 2.0, replaced by DecompositionSolver.solve(double[])
RealMatrix	solve(RealMatrix b) Deprecated. as of release 2.0, replaced by DecompositionSolver.solve(RealMatrix)
RealMatrix	subtract(RealMatrix m) Compute this minus m.
RealMatrix	transpose() Returns the transpose of this matrix.
double	walkInColumnOrder(RealMatrixChangingVisitor visitor) Visit (and possibly change) all matrix entries in column order.
double	walkInColumnOrder(RealMatrixChangingVisitor visitor, int startRow, int endRow, int startColumn, int endColumn) Visit (and possibly change) some matrix entries in column order.
double	walkInColumnOrder(RealMatrixPreservingVisitor visitor) Visit (but don't change) all matrix entries in column order.
double	walkInColumnOrder(RealMatrixPreservingVisitor visitor, int startRow, int endRow, int startColumn, int endColumn) Visit (but don't change) some matrix entries in column order.
double	walkInOptimizedOrder(RealMatrixChangingVisitor visitor) Visit (and possibly change) all matrix entries using the fastest possible order.
double	walkInOptimizedOrder(RealMatrixChangingVisitor visitor, int startRow, int endRow, int startColumn, int endColumn) Visit (and possibly change) some matrix entries using the fastest possible order.
double	walkInOptimizedOrder(RealMatrixPreservingVisitor visitor) Visit (but don't change) all matrix entries using the fastest possible order.
double	walkInOptimizedOrder(RealMatrixPreservingVisitor visitor, int startRow, int endRow, int startColumn, int endColumn) Visit (but don't change) some matrix entries using the fastest possible order.
double	walkInRowOrder(RealMatrixChangingVisitor visitor) Visit (and possibly change) all matrix entries in row order.
double	walkInRowOrder(RealMatrixChangingVisitor visitor, int startRow, int endRow, int startColumn, int endColumn) Visit (and possibly change) some matrix entries in row order.
double	walkInRowOrder(RealMatrixPreservingVisitor visitor) Visit (but don't change) all matrix entries in row order.
double	walkInRowOrder(RealMatrixPreservingVisitor visitor, int startRow, int endRow, int startColumn, int endColumn) Visit (but don't change) some matrix entries in row order.

Methods inherited from interface org.apache.commons.math.linear.AnyMatrix

getColumnDimension, getRowDimension, isSquare

Method Detail

createMatrix

RealMatrix createMatrix(int rowDimension,
                        int columnDimension)

Create a new RealMatrix of the same type as the instance with the supplied row and column dimensions.

Parameters:

rowDimension - the number of rows in the new matrix

columnDimension - the number of columns in the new matrix

Returns:

a new matrix of the same type as the instance

Throws:

IllegalArgumentException - if row or column dimension is not positive

Since:

2.0

copy

RealMatrix copy()

Returns a (deep) copy of this.

Returns:

matrix copy

add

RealMatrix add(RealMatrix m)
               throws IllegalArgumentException

Compute the sum of this and m.

Parameters:

m - matrix to be added

Returns:

this + m

Throws:

IllegalArgumentException - if m is not the same size as this

subtract

RealMatrix subtract(RealMatrix m)
                    throws IllegalArgumentException

Compute this minus m.

Parameters:

m - matrix to be subtracted

Returns:

this - m

Throws:

IllegalArgumentException - if m is not the same size as this

scalarAdd

RealMatrix scalarAdd(double d)

Returns the result of adding d to each entry of this.

Parameters:

d - value to be added to each entry

Returns:

d + this

scalarMultiply

RealMatrix scalarMultiply(double d)

Returns the result multiplying each entry of this by d.

Parameters:

d - value to multiply all entries by

Returns:

d * this

multiply

RealMatrix multiply(RealMatrix m)
                    throws IllegalArgumentException

Returns the result of postmultiplying this by m.

Parameters:

m - matrix to postmultiply by

Returns:

this * m

Throws:

IllegalArgumentException - if columnDimension(this) != rowDimension(m)

preMultiply

RealMatrix preMultiply(RealMatrix m)
                       throws IllegalArgumentException

Returns the result premultiplying this by m.

Parameters:

m - matrix to premultiply by

Returns:

m * this

Throws:

IllegalArgumentException - if rowDimension(this) != columnDimension(m)

getData

double[][] getData()

Returns matrix entries as a two-dimensional array.

Returns:

2-dimensional array of entries

getNorm

double getNorm()

Returns the maximum absolute row sum norm of the matrix.

Returns:

norm

getFrobeniusNorm

double getFrobeniusNorm()

Returns the Frobenius norm of the matrix.

Returns:

norm

getSubMatrix

RealMatrix getSubMatrix(int startRow,
                        int endRow,
                        int startColumn,
                        int endColumn)
                        throws MatrixIndexException

Gets a submatrix. Rows and columns are indicated counting from 0 to n-1.

Parameters:

startRow - Initial row index

endRow - Final row index (inclusive)

startColumn - Initial column index

endColumn - Final column index (inclusive)

Returns:

The subMatrix containing the data of the specified rows and columns

Throws:

MatrixIndexException - if the indices are not valid

getSubMatrix

RealMatrix getSubMatrix(int[] selectedRows,
                        int[] selectedColumns)
                        throws MatrixIndexException

Gets a submatrix. Rows and columns are indicated counting from 0 to n-1.

Parameters:

selectedRows - Array of row indices.

selectedColumns - Array of column indices.

Returns:

The subMatrix containing the data in the specified rows and columns

Throws:

MatrixIndexException - if row or column selections are not valid

copySubMatrix

void copySubMatrix(int startRow,
                   int endRow,
                   int startColumn,
                   int endColumn,
                   double[][] destination)
                   throws MatrixIndexException,
                          IllegalArgumentException

Copy a submatrix. Rows and columns are indicated counting from 0 to n-1.

Parameters:

startRow - Initial row index

endRow - Final row index (inclusive)

startColumn - Initial column index

endColumn - Final column index (inclusive)

destination - The arrays where the submatrix data should be copied (if larger than rows/columns counts, only the upper-left part will be used)

Throws:

MatrixIndexException - if the indices are not valid

IllegalArgumentException - if the destination array is too small

copySubMatrix

void copySubMatrix(int[] selectedRows,
                   int[] selectedColumns,
                   double[][] destination)
                   throws MatrixIndexException,
                          IllegalArgumentException

Copy a submatrix. Rows and columns are indicated counting from 0 to n-1.

Parameters:

selectedRows - Array of row indices.

selectedColumns - Array of column indices.

destination - The arrays where the submatrix data should be copied (if larger than rows/columns counts, only the upper-left part will be used)

Throws:

MatrixIndexException - if the indices are not valid

IllegalArgumentException - if the destination array is too small

setSubMatrix

void setSubMatrix(double[][] subMatrix,
                  int row,
                  int column)
                  throws MatrixIndexException

Replace the submatrix starting at row, column using data in the input subMatrix array. Indexes are 0-based.

Example:
Starting with

 1  2  3  4
 5  6  7  8
 9  0  1  2
 

and subMatrix = {{3, 4} {5,6}}, invoking setSubMatrix(subMatrix,1,1)) will result in

 1  2  3  4
 5  3  4  8
 9  5  6  2
 

Parameters:

subMatrix - array containing the submatrix replacement data

row - row coordinate of the top, left element to be replaced

column - column coordinate of the top, left element to be replaced

Throws:

MatrixIndexException - if subMatrix does not fit into this matrix from element in (row, column)

IllegalArgumentException - if subMatrix is not rectangular (not all rows have the same length) or empty

NullPointerException - if subMatrix is null

Since:

2.0

getRowMatrix

RealMatrix getRowMatrix(int row)
                        throws MatrixIndexException

Returns the entries in row number row as a row matrix. Row indices start at 0.

Parameters:

row - the row to be fetched

Returns:

row matrix

Throws:

MatrixIndexException - if the specified row index is invalid

setRowMatrix

void setRowMatrix(int row,
                  RealMatrix matrix)
                  throws MatrixIndexException,
                         InvalidMatrixException

Sets the entries in row number row as a row matrix. Row indices start at 0.

Parameters:

row - the row to be set

matrix - row matrix (must have one row and the same number of columns as the instance)

Throws:

MatrixIndexException - if the specified row index is invalid

InvalidMatrixException - if the matrix dimensions do not match one instance row

getColumnMatrix

RealMatrix getColumnMatrix(int column)
                           throws MatrixIndexException

Returns the entries in column number column as a column matrix. Column indices start at 0.

Parameters:

column - the column to be fetched

Returns:

column matrix

Throws:

MatrixIndexException - if the specified column index is invalid

setColumnMatrix

void setColumnMatrix(int column,
                     RealMatrix matrix)
                     throws MatrixIndexException,
                            InvalidMatrixException

Sets the entries in column number column as a column matrix. Column indices start at 0.

Parameters:

column - the column to be set

matrix - column matrix (must have one column and the same number of rows as the instance)

Throws:

MatrixIndexException - if the specified column index is invalid

InvalidMatrixException - if the matrix dimensions do not match one instance column

getRowVector

RealVector getRowVector(int row)
                        throws MatrixIndexException

Returns the entries in row number row as a vector. Row indices start at 0.

Parameters:

row - the row to be fetched

Returns:

row vector

Throws:

MatrixIndexException - if the specified row index is invalid

setRowVector

void setRowVector(int row,
                  RealVector vector)
                  throws MatrixIndexException,
                         InvalidMatrixException

Sets the entries in row number row as a vector. Row indices start at 0.

Parameters:

row - the row to be set

vector - row vector (must have the same number of columns as the instance)

Throws:

MatrixIndexException - if the specified row index is invalid

InvalidMatrixException - if the vector dimension does not match one instance row

getColumnVector

RealVector getColumnVector(int column)
                           throws MatrixIndexException

Returns the entries in column number column as a vector. Column indices start at 0.

Parameters:

column - the column to be fetched

Returns:

column vector

Throws:

MatrixIndexException - if the specified column index is invalid

setColumnVector

void setColumnVector(int column,
                     RealVector vector)
                     throws MatrixIndexException,
                            InvalidMatrixException

Sets the entries in column number column as a vector. Column indices start at 0.

Parameters:

column - the column to be set

vector - column vector (must have the same number of rows as the instance)

Throws:

MatrixIndexException - if the specified column index is invalid

InvalidMatrixException - if the vector dimension does not match one instance column

getRow

double[] getRow(int row)
                throws MatrixIndexException

Returns the entries in row number row as an array.

Row indices start at 0. A MatrixIndexException is thrown unless 0 <= row < rowDimension.

Parameters:

row - the row to be fetched

Returns:

array of entries in the row

Throws:

MatrixIndexException - if the specified row index is not valid

setRow

void setRow(int row,
            double[] array)
            throws MatrixIndexException,
                   InvalidMatrixException

Sets the entries in row number row as a row matrix. Row indices start at 0.

Parameters:

row - the row to be set

array - row matrix (must have the same number of columns as the instance)

Throws:

MatrixIndexException - if the specified row index is invalid

InvalidMatrixException - if the array size does not match one instance row

getColumn

double[] getColumn(int column)
                   throws MatrixIndexException

Returns the entries in column number col as an array.

Column indices start at 0. A MatrixIndexException is thrown unless 0 <= column < columnDimension.

Parameters:

column - the column to be fetched

Returns:

array of entries in the column

Throws:

MatrixIndexException - if the specified column index is not valid

setColumn

void setColumn(int column,
               double[] array)
               throws MatrixIndexException,
                      InvalidMatrixException

Sets the entries in column number column as a column matrix. Column indices start at 0.

Parameters:

column - the column to be set

array - column array (must have the same number of rows as the instance)

Throws:

MatrixIndexException - if the specified column index is invalid

InvalidMatrixException - if the array size does not match one instance column

getEntry

double getEntry(int row,
                int column)
                throws MatrixIndexException

Returns the entry in the specified row and column.

Row and column indices start at 0 and must satisfy

• 0 <= row < rowDimension
• 0 <= column < columnDimension

otherwise a MatrixIndexException is thrown.

Parameters:

row - row location of entry to be fetched

column - column location of entry to be fetched

Returns:

matrix entry in row,column

Throws:

MatrixIndexException - if the row or column index is not valid

setEntry

void setEntry(int row,
              int column,
              double value)
              throws MatrixIndexException

Set the entry in the specified row and column.

Row and column indices start at 0 and must satisfy

• 0 <= row < rowDimension
• 0 <= column < columnDimension

otherwise a MatrixIndexException is thrown.

Parameters:

row - row location of entry to be set

column - column location of entry to be set

value - matrix entry to be set in row,column

Throws:

MatrixIndexException - if the row or column index is not valid

Since:

2.0

addToEntry

void addToEntry(int row,
                int column,
                double increment)
                throws MatrixIndexException

Change an entry in the specified row and column.

Row and column indices start at 0 and must satisfy

• 0 <= row < rowDimension
• 0 <= column < columnDimension

otherwise a MatrixIndexException is thrown.

Parameters:

row - row location of entry to be set

column - column location of entry to be set

increment - value to add to the current matrix entry in row,column

Throws:

MatrixIndexException - if the row or column index is not valid

Since:

2.0

multiplyEntry

void multiplyEntry(int row,
                   int column,
                   double factor)
                   throws MatrixIndexException

Change an entry in the specified row and column.

Row and column indices start at 0 and must satisfy

• 0 <= row < rowDimension
• 0 <= column < columnDimension

otherwise a MatrixIndexException is thrown.

Parameters:

row - row location of entry to be set

column - column location of entry to be set

factor - multiplication factor for the current matrix entry in row,column

Throws:

MatrixIndexException - if the row or column index is not valid

Since:

2.0

transpose

RealMatrix transpose()

Returns the transpose of this matrix.

Returns:

transpose matrix

inverse

@Deprecated
RealMatrix inverse()
                   throws InvalidMatrixException

Deprecated. as of release 2.0, replaced by new LUDecompositionImpl(m).getSolver().getInverse()

Returns the inverse of this matrix.

Returns:

inverse matrix

Throws:

InvalidMatrixException - if this is not invertible

getDeterminant

@Deprecated
double getDeterminant()

Deprecated. as of release 2.0, replaced by new LUDecompositionImpl(m).getDeterminant()

Returns the determinant of this matrix.

Returns:

determinant

isSingular

@Deprecated
boolean isSingular()

Deprecated. as of release 2.0, replaced by the boolean negation of new LUDecompositionImpl(m).getSolver().isNonSingular()

Is this a singular matrix?

Returns:

true if the matrix is singular

getTrace

double getTrace()
                throws NonSquareMatrixException

Returns the trace of the matrix (the sum of the elements on the main diagonal).

Returns:

trace

Throws:

NonSquareMatrixException - if the matrix is not square

operate

double[] operate(double[] v)
                 throws IllegalArgumentException

Returns the result of multiplying this by the vector v.

Parameters:

v - the vector to operate on

Returns:

this*v

Throws:

IllegalArgumentException - if columnDimension != v.size()

operate

RealVector operate(RealVector v)
                   throws IllegalArgumentException

Returns the result of multiplying this by the vector v.

Parameters:

v - the vector to operate on

Returns:

this*v

Throws:

IllegalArgumentException - if columnDimension != v.size()

preMultiply

double[] preMultiply(double[] v)
                     throws IllegalArgumentException

Returns the (row) vector result of premultiplying this by the vector v.

Parameters:

v - the row vector to premultiply by

Returns:

v*this

Throws:

IllegalArgumentException - if rowDimension != v.size()

preMultiply

RealVector preMultiply(RealVector v)
                       throws IllegalArgumentException

Returns the (row) vector result of premultiplying this by the vector v.

Parameters:

v - the row vector to premultiply by

Returns:

v*this

Throws:

IllegalArgumentException - if rowDimension != v.size()

walkInRowOrder

double walkInRowOrder(RealMatrixChangingVisitor visitor)
                      throws MatrixVisitorException

Visit (and possibly change) all matrix entries in row order.

Row order starts at upper left and iterating through all elements of a row from left to right before going to the leftmost element of the next row.

Parameters:

visitor - visitor used to process all matrix entries

Returns:

the value returned by RealMatrixChangingVisitor.end() at the end of the walk

Throws:

MatrixVisitorException - if the visitor cannot process an entry

See Also:

walkInRowOrder(RealMatrixPreservingVisitor), walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixChangingVisitor), walkInColumnOrder(RealMatrixPreservingVisitor), walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixChangingVisitor), walkInOptimizedOrder(RealMatrixPreservingVisitor), walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)

walkInRowOrder

double walkInRowOrder(RealMatrixPreservingVisitor visitor)
                      throws MatrixVisitorException

Visit (but don't change) all matrix entries in row order.

Row order starts at upper left and iterating through all elements of a row from left to right before going to the leftmost element of the next row.

Parameters:

visitor - visitor used to process all matrix entries

Returns:

the value returned by RealMatrixPreservingVisitor.end() at the end of the walk

Throws:

MatrixVisitorException - if the visitor cannot process an entry

See Also:

walkInRowOrder(RealMatrixChangingVisitor), walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixChangingVisitor), walkInColumnOrder(RealMatrixPreservingVisitor), walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixChangingVisitor), walkInOptimizedOrder(RealMatrixPreservingVisitor), walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)

walkInRowOrder

double walkInRowOrder(RealMatrixChangingVisitor visitor,
                      int startRow,
                      int endRow,
                      int startColumn,
                      int endColumn)
                      throws MatrixIndexException,
                             MatrixVisitorException

Visit (and possibly change) some matrix entries in row order.

Row order starts at upper left and iterating through all elements of a row from left to right before going to the leftmost element of the next row.

Parameters:

visitor - visitor used to process all matrix entries

startRow - Initial row index

endRow - Final row index (inclusive)

startColumn - Initial column index

endColumn - Final column index

Returns:

the value returned by RealMatrixChangingVisitor.end() at the end of the walk

Throws:

MatrixVisitorException - if the visitor cannot process an entry

MatrixIndexException - if the indices are not valid

See Also:

walkInRowOrder(RealMatrixChangingVisitor), walkInRowOrder(RealMatrixPreservingVisitor), walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixChangingVisitor), walkInColumnOrder(RealMatrixPreservingVisitor), walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixChangingVisitor), walkInOptimizedOrder(RealMatrixPreservingVisitor), walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)

walkInRowOrder

double walkInRowOrder(RealMatrixPreservingVisitor visitor,
                      int startRow,
                      int endRow,
                      int startColumn,
                      int endColumn)
                      throws MatrixIndexException,
                             MatrixVisitorException

Visit (but don't change) some matrix entries in row order.

Row order starts at upper left and iterating through all elements of a row from left to right before going to the leftmost element of the next row.

Parameters:

visitor - visitor used to process all matrix entries

startRow - Initial row index

endRow - Final row index (inclusive)

startColumn - Initial column index

endColumn - Final column index

Returns:

the value returned by RealMatrixPreservingVisitor.end() at the end of the walk

Throws:

MatrixVisitorException - if the visitor cannot process an entry

MatrixIndexException - if the indices are not valid

See Also:

walkInRowOrder(RealMatrixChangingVisitor), walkInRowOrder(RealMatrixPreservingVisitor), walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixChangingVisitor), walkInColumnOrder(RealMatrixPreservingVisitor), walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixChangingVisitor), walkInOptimizedOrder(RealMatrixPreservingVisitor), walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)

walkInColumnOrder

double walkInColumnOrder(RealMatrixChangingVisitor visitor)
                         throws MatrixVisitorException

Visit (and possibly change) all matrix entries in column order.

Column order starts at upper left and iterating through all elements of a column from top to bottom before going to the topmost element of the next column.

Parameters:

visitor - visitor used to process all matrix entries

Returns:

the value returned by RealMatrixChangingVisitor.end() at the end of the walk

Throws:

MatrixVisitorException - if the visitor cannot process an entry

See Also:

walkInRowOrder(RealMatrixChangingVisitor), walkInRowOrder(RealMatrixPreservingVisitor), walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixPreservingVisitor), walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixChangingVisitor), walkInOptimizedOrder(RealMatrixPreservingVisitor), walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)

walkInColumnOrder

double walkInColumnOrder(RealMatrixPreservingVisitor visitor)
                         throws MatrixVisitorException

Visit (but don't change) all matrix entries in column order.

Column order starts at upper left and iterating through all elements of a column from top to bottom before going to the topmost element of the next column.

Parameters:

visitor - visitor used to process all matrix entries

Returns:

the value returned by RealMatrixPreservingVisitor.end() at the end of the walk

Throws:

MatrixVisitorException - if the visitor cannot process an entry

See Also:

walkInRowOrder(RealMatrixChangingVisitor), walkInRowOrder(RealMatrixPreservingVisitor), walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixChangingVisitor), walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixChangingVisitor), walkInOptimizedOrder(RealMatrixPreservingVisitor), walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)

walkInColumnOrder

double walkInColumnOrder(RealMatrixChangingVisitor visitor,
                         int startRow,
                         int endRow,
                         int startColumn,
                         int endColumn)
                         throws MatrixIndexException,
                                MatrixVisitorException

Visit (and possibly change) some matrix entries in column order.

Column order starts at upper left and iterating through all elements of a column from top to bottom before going to the topmost element of the next column.

Parameters:

visitor - visitor used to process all matrix entries

startRow - Initial row index

endRow - Final row index (inclusive)

startColumn - Initial column index

endColumn - Final column index

Returns:

the value returned by RealMatrixChangingVisitor.end() at the end of the walk

Throws:

MatrixVisitorException - if the visitor cannot process an entry

MatrixIndexException - if the indices are not valid

See Also:

walkInRowOrder(RealMatrixChangingVisitor), walkInRowOrder(RealMatrixPreservingVisitor), walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixChangingVisitor), walkInColumnOrder(RealMatrixPreservingVisitor), walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixChangingVisitor), walkInOptimizedOrder(RealMatrixPreservingVisitor), walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)

walkInColumnOrder

double walkInColumnOrder(RealMatrixPreservingVisitor visitor,
                         int startRow,
                         int endRow,
                         int startColumn,
                         int endColumn)
                         throws MatrixIndexException,
                                MatrixVisitorException

Visit (but don't change) some matrix entries in column order.

Column order starts at upper left and iterating through all elements of a column from top to bottom before going to the topmost element of the next column.

Parameters:

visitor - visitor used to process all matrix entries

startRow - Initial row index

endRow - Final row index (inclusive)

startColumn - Initial column index

endColumn - Final column index

Returns:

the value returned by RealMatrixPreservingVisitor.end() at the end of the walk

Throws:

MatrixVisitorException - if the visitor cannot process an entry

MatrixIndexException - if the indices are not valid

See Also:

walkInRowOrder(RealMatrixChangingVisitor), walkInRowOrder(RealMatrixPreservingVisitor), walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixChangingVisitor), walkInColumnOrder(RealMatrixPreservingVisitor), walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixChangingVisitor), walkInOptimizedOrder(RealMatrixPreservingVisitor), walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)

walkInOptimizedOrder

double walkInOptimizedOrder(RealMatrixChangingVisitor visitor)
                            throws MatrixVisitorException

Visit (and possibly change) all matrix entries using the fastest possible order.

The fastest walking order depends on the exact matrix class. It may be different from traditional row or column orders.

Parameters:

visitor - visitor used to process all matrix entries

Returns:

the value returned by RealMatrixChangingVisitor.end() at the end of the walk

Throws:

MatrixVisitorException - if the visitor cannot process an entry

See Also:

walkInRowOrder(RealMatrixChangingVisitor), walkInRowOrder(RealMatrixPreservingVisitor), walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixChangingVisitor), walkInColumnOrder(RealMatrixPreservingVisitor), walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixPreservingVisitor), walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)

walkInOptimizedOrder

double walkInOptimizedOrder(RealMatrixPreservingVisitor visitor)
                            throws MatrixVisitorException

Visit (but don't change) all matrix entries using the fastest possible order.

The fastest walking order depends on the exact matrix class. It may be different from traditional row or column orders.

Parameters:

visitor - visitor used to process all matrix entries

Returns:

the value returned by RealMatrixPreservingVisitor.end() at the end of the walk

Throws:

MatrixVisitorException - if the visitor cannot process an entry

See Also:

walkInRowOrder(RealMatrixChangingVisitor), walkInRowOrder(RealMatrixPreservingVisitor), walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixChangingVisitor), walkInColumnOrder(RealMatrixPreservingVisitor), walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixChangingVisitor), walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)

walkInOptimizedOrder

double walkInOptimizedOrder(RealMatrixChangingVisitor visitor,
                            int startRow,
                            int endRow,
                            int startColumn,
                            int endColumn)
                            throws MatrixIndexException,
                                   MatrixVisitorException

Visit (and possibly change) some matrix entries using the fastest possible order.

The fastest walking order depends on the exact matrix class. It may be different from traditional row or column orders.

Parameters:

visitor - visitor used to process all matrix entries

startRow - Initial row index

endRow - Final row index (inclusive)

startColumn - Initial column index

endColumn - Final column index (inclusive)

Returns:

the value returned by RealMatrixChangingVisitor.end() at the end of the walk

Throws:

MatrixVisitorException - if the visitor cannot process an entry

MatrixIndexException - if the indices are not valid

See Also:

walkInRowOrder(RealMatrixChangingVisitor), walkInRowOrder(RealMatrixPreservingVisitor), walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixChangingVisitor), walkInColumnOrder(RealMatrixPreservingVisitor), walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixChangingVisitor), walkInOptimizedOrder(RealMatrixPreservingVisitor), walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)

walkInOptimizedOrder

double walkInOptimizedOrder(RealMatrixPreservingVisitor visitor,
                            int startRow,
                            int endRow,
                            int startColumn,
                            int endColumn)
                            throws MatrixIndexException,
                                   MatrixVisitorException

Visit (but don't change) some matrix entries using the fastest possible order.

The fastest walking order depends on the exact matrix class. It may be different from traditional row or column orders.

Parameters:

visitor - visitor used to process all matrix entries

startRow - Initial row index

endRow - Final row index (inclusive)

startColumn - Initial column index

endColumn - Final column index (inclusive)

Returns:

the value returned by RealMatrixPreservingVisitor.end() at the end of the walk

Throws:

MatrixVisitorException - if the visitor cannot process an entry

MatrixIndexException - if the indices are not valid

See Also:

walkInRowOrder(RealMatrixChangingVisitor), walkInRowOrder(RealMatrixPreservingVisitor), walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixChangingVisitor), walkInColumnOrder(RealMatrixPreservingVisitor), walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixChangingVisitor), walkInOptimizedOrder(RealMatrixPreservingVisitor), walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int)

solve

@Deprecated
double[] solve(double[] b)
               throws IllegalArgumentException,
                      InvalidMatrixException

Deprecated. as of release 2.0, replaced by DecompositionSolver.solve(double[])

Returns the solution vector for a linear system with coefficient matrix = this and constant vector = b.

Parameters:

b - constant vector

Returns:

vector of solution values to AX = b, where A is *this

Throws:

IllegalArgumentException - if this.rowDimension != b.length

InvalidMatrixException - if this matrix is not square or is singular

solve

@Deprecated
RealMatrix solve(RealMatrix b)
                 throws IllegalArgumentException,
                        InvalidMatrixException

Deprecated. as of release 2.0, replaced by DecompositionSolver.solve(RealMatrix)

Returns a matrix of (column) solution vectors for linear systems with coefficient matrix = this and constant vectors = columns of b.

Parameters:

b - matrix of constant vectors forming RHS of linear systems to to solve

Returns:

matrix of solution vectors

Throws:

IllegalArgumentException - if this.rowDimension != row dimension

InvalidMatrixException - if this matrix is not square or is singular