public class UnitUpperTriangBandMatrix extends UpperTriangBandMatrix
LowerTriangBandMatrix, but
the main diagonal is assumed to be all ones. It is still allocated, however.Matrix.NormnumColumns, numRows| Constructor and Description |
|---|
UnitUpperTriangBandMatrix(int n,
int kd)
Constructor for UnitUpperTriangBandMatrix
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UnitUpperTriangBandMatrix(Matrix A,
int kd)
Constructor for UnitUpperTriangBandMatrix
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UnitUpperTriangBandMatrix(Matrix A,
int kd,
boolean deep)
Constructor for UnitUpperTriangBandMatrix
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| Modifier and Type | Method and Description |
|---|---|
void |
add(int row,
int column,
double value)
A(row,column) += value |
UnitUpperTriangBandMatrix |
copy()
Creates a deep copy of the matrix
|
double |
get(int row,
int column)
Returns
A(row,column) |
double[] |
getData()
Returns the matrix contents
|
Iterator<MatrixEntry> |
iterator() |
Vector |
mult(double alpha,
Vector x,
Vector y)
y = alpha*A*x |
int |
numSubDiagonals()
Returns the number of lower diagonals
|
int |
numSuperDiagonals()
Returns the number of upper diagonals
|
void |
set(int row,
int column,
double value)
A(row,column) = value |
Matrix |
set(Matrix B)
A=B. |
Matrix |
solve(Matrix B,
Matrix X)
X = A\B. |
Vector |
solve(Vector b,
Vector x)
x = A\b. |
Vector |
transMult(double alpha,
Vector x,
Vector y)
y = alpha*AT*x |
Matrix |
transSolve(Matrix B,
Matrix X)
X = AT\B. |
Vector |
transSolve(Vector b,
Vector x)
x = AT\b. |
Matrix |
zero()
Zeros all the entries in the matrix, while preserving any underlying
structure.
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add, add, check, checkMultAdd, checkMultAdd, checkRank1, checkRank1, checkRank2, checkRank2, checkSize, checkSolve, checkSolve, checkTransABmultAdd, checkTransAmultAdd, checkTransBmultAdd, checkTransMultAdd, checkTranspose, checkTranspose, checkTransRank1, checkTransRank2, isSquare, max, max, mult, mult, mult, multAdd, multAdd, multAdd, multAdd, norm, norm1, normF, normInf, numColumns, numRows, rank1, rank1, rank1, rank1, rank1, rank1, rank2, rank2, rank2, rank2, scale, set, toString, transABmult, transABmult, transABmultAdd, transABmultAdd, transAmult, transAmult, transAmultAdd, transAmultAdd, transBmult, transBmult, transBmultAdd, transBmultAdd, transMult, transMultAdd, transMultAdd, transpose, transpose, transRank1, transRank1, transRank2, transRank2public UnitUpperTriangBandMatrix(int n,
int kd)
n - Size of the matrix. Since the matrix must be square, this
equals both the number of rows and columnskd - Number of bands above the main diagonal (superdiagonals)public UnitUpperTriangBandMatrix(Matrix A, int kd)
A - Matrix to copy contents from. Only the parts of A
that lie within the allocated band are copied over, the rest
is ignored (including main diagonal entries)kd - Number of bands above the main diagonal (superdiagonals)public UnitUpperTriangBandMatrix(Matrix A, int kd, boolean deep)
A - Matrix to copy contents from. Only the parts of A
that lie within the allocated band are copied over, the rest
is ignored (including main diagonal entries)kd - Number of bands above the main diagonal (superdiagonals)deep - True for a deep copy. For shallow copies, A
must be a banded matrixpublic void add(int row,
int column,
double value)
MatrixA(row,column) += valuepublic double get(int row,
int column)
MatrixA(row,column)public void set(int row,
int column,
double value)
MatrixA(row,column) = valuepublic UnitUpperTriangBandMatrix copy()
Matrixcopy in interface Matrixcopy in class UpperTriangBandMatrixpublic Matrix zero()
Matrixpublic Vector mult(double alpha, Vector x, Vector y)
Matrixy = alpha*A*xmult in interface Matrixmult in class AbstractMatrixx - Vector of size A.numColumns()y - Vector of size A.numRows()public Vector transMult(double alpha, Vector x, Vector y)
Matrixy = alpha*AT*xtransMult in interface MatrixtransMult in class AbstractMatrixx - Vector of size A.numRows()y - Vector of size A.numColumns()public Matrix solve(Matrix B, Matrix X)
MatrixX = A\B. Not all matrices support this operation, those
that do not throw UnsupportedOperationException. Note
that it is often more efficient to use a matrix decomposition and its
associated solversolve in interface Matrixsolve in class AbstractMatrixB - Matrix with the same number of rows as A, and
the same number of columns as XX - Matrix with a number of rows equal A.numColumns(),
and the same number of columns as Bpublic Vector solve(Vector b, Vector x)
Matrixx = A\b. Not all matrices support this operation, those
that do not throw UnsupportedOperationException. Note
that it is often more efficient to use a matrix decomposition and its
associated solversolve in interface Matrixsolve in class AbstractMatrixb - Vector of size A.numRows()x - Vector of size A.numColumns()public Matrix transSolve(Matrix B, Matrix X)
MatrixX = AT\B. Not all matrices support this
operation, those that do not throw
UnsupportedOperationException. Note that it is often more
efficient to use a matrix decomposition and its associated transpose
solvertransSolve in interface MatrixtransSolve in class AbstractMatrixB - Matrix with a number of rows equal A.numColumns(),
and the same number of columns as XX - Matrix with the same number of rows as A, and
the same number of columns as Bpublic Vector transSolve(Vector b, Vector x)
Matrixx = AT\b. Not all matrices support this
operation, those that do not throw
UnsupportedOperationException. Note that it is often more
efficient to use a matrix decomposition and its associated solvertransSolve in interface MatrixtransSolve in class AbstractMatrixb - Vector of size A.numColumns()x - Vector of size A.numRows()public double[] getData()
public int numSubDiagonals()
public int numSuperDiagonals()
public Matrix set(Matrix B)
MatrixA=B. The matrices must be of the same sizeset in interface Matrixset in class AbstractMatrixpublic Iterator<MatrixEntry> iterator()
iterator in interface Iterable<MatrixEntry>iterator in class AbstractMatrixCopyright © 2013. All Rights Reserved.