breeze.linalg

qr

object qr extends UFunc

QR Factorization

Previous versions of Breeze had qr(m, skipQ), where we could skip the computation in making Q if we didn't want it. That is now supplanted by qr.justR(m)

Supports complete and reduced mode of factorization of matrix A with dimensions (m, n). If mode is complete matrices Q and R have dimensions (m, m), (m, n). If mode is reduced matrices Q and R have dimensions (m, k), (k, n) with k = min(m, n).

Complete QR factorization can be called by qr(A).

Reduced QR factorization can be called by qr.reduced(A). If computation of Q is unnecessary, it can be skipped by qr.reduced.justR(A)

returns

(Q, R) Q - A matrix with orthonormal columns R - The upper-triangular matrix

Linear Supertypes
UFunc, AnyRef, Any
Ordering
  1. Alphabetic
  2. By inheritance
Inherited
  1. qr
  2. UFunc
  3. AnyRef
  4. Any
  1. Hide All
  2. Show all
Learn more about member selection
Visibility
  1. Public
  2. All

Type Members

  1. type DenseQR = QR[DenseMatrix[Double]]

  2. type Impl[V, VR] = UImpl[qr.this.type, V, VR]

    Definition Classes
    UFunc

  3. type Impl2[V1, V2, VR] = UImpl2[qr.this.type, V1, V2, VR]

    Definition Classes
    UFunc

  4. type Impl3[V1, V2, V3, VR] = UImpl3[qr.this.type, V1, V2, V3, VR]

    Definition Classes
    UFunc

  5. type Impl4[V1, V2, V3, V4, VR] = UImpl4[qr.this.type, V1, V2, V3, V4, VR]

    Definition Classes
    UFunc

  6. type InPlaceImpl[V] = generic.UFunc.InPlaceImpl[qr.this.type, V]

    Definition Classes
    UFunc

  7. type InPlaceImpl2[V1, V2] = generic.UFunc.InPlaceImpl2[qr.this.type, V1, V2]

    Definition Classes
    UFunc

  8. type InPlaceImpl3[V1, V2, V3] = generic.UFunc.InPlaceImpl3[qr.this.type, V1, V2, V3]

    Definition Classes
    UFunc

  9. case class QR[M](q: M, r: M) extends Product with Serializable

  10. type SDenseQR = QR[DenseMatrix[Float]]

  11. type SinkImpl[S, V] = generic.UFunc.SinkImpl[qr.this.type, S, V]

    Definition Classes
    UFunc

  12. type SinkImpl2[S, V1, V2] = generic.UFunc.SinkImpl2[qr.this.type, S, V1, V2]

    Definition Classes
    UFunc

  13. type SinkImpl3[S, V1, V2, V3] = generic.UFunc.SinkImpl3[qr.this.type, S, V1, V2, V3]

    Definition Classes
    UFunc

Value Members

  1. final def !=(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef

  2. final def !=(arg0: Any): Boolean

    Definition Classes
    Any

  3. final def ##(): Int

    Definition Classes
    AnyRef → Any

  4. final def ==(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef

  5. final def ==(arg0: Any): Boolean

    Definition Classes
    Any

  6. final def apply[V1, V2, V3, V4, VR](v1: V1, v2: V2, v3: V3, v4: V4)(implicit impl: Impl4[V1, V2, V3, V4, VR]): VR

    Definition Classes
    UFunc

  7. final def apply[V1, V2, V3, VR](v1: V1, v2: V2, v3: V3)(implicit impl: Impl3[V1, V2, V3, VR]): VR

    Definition Classes
    UFunc

  8. final def apply[V1, V2, VR](v1: V1, v2: V2)(implicit impl: Impl2[V1, V2, VR]): VR

    Definition Classes
    UFunc

  9. final def apply[V, VR](v: V)(implicit impl: Impl[V, VR]): VR

    Definition Classes
    UFunc

  10. final def asInstanceOf[T0]: T0

    Definition Classes
    Any

  11. implicit def canZipMapValuesImpl[T, V1, VR, U](implicit handhold: ScalarOf[T, V1], impl: Impl2[V1, V1, VR], canZipMapValues: CanZipMapValues[T, V1, VR, U]): Impl2[T, T, U]

    Definition Classes
    UFunc

  12. def clone(): AnyRef

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  13. final def eq(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef

  14. def equals(arg0: Any): Boolean

    Definition Classes
    AnyRef → Any

  15. def finalize(): Unit

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )

  16. final def getClass(): Class[_]

    Definition Classes
    AnyRef → Any

  17. def hashCode(): Int

    Definition Classes
    AnyRef → Any

  18. implicit object impl_DM_Double extends Impl[DenseMatrix[Double], DenseQR]

  19. implicit object impl_DM_Float extends Impl[DenseMatrix[Float], SDenseQR]

  20. final def inPlace[V, V2, V3](v: V, v2: V2, v3: V3)(implicit impl: generic.UFunc.InPlaceImpl3[qr.this.type, V, V2, V3]): V

    Definition Classes
    UFunc

  21. final def inPlace[V, V2](v: V, v2: V2)(implicit impl: generic.UFunc.InPlaceImpl2[qr.this.type, V, V2]): V

    Definition Classes
    UFunc

  22. final def inPlace[V](v: V)(implicit impl: generic.UFunc.InPlaceImpl[qr.this.type, V]): V

    Definition Classes
    UFunc

  23. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any

  24. object justQ extends UFunc

    QR that just returns Q.

  25. object justR extends UFunc

    QR that just returns R.

  26. final def ne(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef

  27. final def notify(): Unit

    Definition Classes
    AnyRef

  28. final def notifyAll(): Unit

    Definition Classes
    AnyRef

  29. object reduced extends UFunc

    QR Factorization that returns Q and R with dimensions (m, k), (k, n) where k = min(m, n)

  30. final def synchronized[T0](arg0: ⇒ T0): T0

    Definition Classes
    AnyRef

  31. def toString(): String

    Definition Classes
    AnyRef → Any

  32. final def wait(): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  33. final def wait(arg0: Long, arg1: Int): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  34. final def wait(arg0: Long): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  35. final def withSink[S](s: S): WithSinkHelp[qr.this.type, S]

    Definition Classes
    UFunc

Inherited from UFunc

Inherited from AnyRef

Inherited from Any

Ungrouped