Packages

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
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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: Any): Boolean
    Definition Classes
    AnyRef → Any
  2. final def ##(): Int
    Definition Classes
    AnyRef → Any
  3. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  4. 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
  5. final def apply[V1, V2, V3, VR](v1: V1, v2: V2, v3: V3)(implicit impl: Impl3[V1, V2, V3, VR]): VR
    Definition Classes
    UFunc
  6. final def apply[V1, V2, VR](v1: V1, v2: V2)(implicit impl: Impl2[V1, V2, VR]): VR
    Definition Classes
    UFunc
  7. final def apply[V, VR](v: V)(implicit impl: Impl[V, VR]): VR
    Definition Classes
    UFunc
  8. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  9. 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
  10. def clone(): AnyRef
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate() @throws( ... )
  11. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  12. def equals(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  13. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  14. def hashCode(): Int
    Definition Classes
    AnyRef → Any
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  15. 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
  16. final def inPlace[V, V2](v: V, v2: V2)(implicit impl: generic.UFunc.InPlaceImpl2[qr.this.type, V, V2]): V
    Definition Classes
    UFunc
  17. final def inPlace[V](v: V)(implicit impl: generic.UFunc.InPlaceImpl[qr.this.type, V]): V
    Definition Classes
    UFunc
  18. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  19. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  20. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  21. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  22. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  23. def toString(): String
    Definition Classes
    AnyRef → Any
  24. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  25. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @throws( ... )
  26. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  27. final def withSink[S](s: S): WithSinkHelp[qr.this.type, S]
    Definition Classes
    UFunc
  28. implicit object impl_DM_Double extends Impl[DenseMatrix[Double], DenseQR]
  29. implicit object impl_DM_Float extends Impl[DenseMatrix[Float], SDenseQR]
  30. object justQ extends UFunc

    QR that just returns Q.

  31. object justR extends UFunc

    QR that just returns R.

  32. object reduced extends UFunc

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

Deprecated Value Members

  1. def finalize(): Unit
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @Deprecated @deprecated @throws( classOf[java.lang.Throwable] )
    Deprecated

    (Since version ) see corresponding Javadoc for more information.

Inherited from UFunc

Inherited from AnyRef

Inherited from Any

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