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
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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

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

    Definition Classes
    UFunc

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

    Definition Classes
    UFunc

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

    Definition Classes
    UFunc

  22. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any

  23. object justQ extends UFunc

    QR that just returns Q.

  24. object justR extends UFunc

    QR that just returns R.

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

    Definition Classes
    AnyRef

  26. final def notify(): Unit

    Definition Classes
    AnyRef

  27. final def notifyAll(): Unit

    Definition Classes
    AnyRef

  28. object reduced extends UFunc

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

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

    Definition Classes
    AnyRef

  30. def toString(): String

    Definition Classes
    AnyRef → Any

  31. final def wait(): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

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

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

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

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

Inherited from UFunc

Inherited from AnyRef

Inherited from Any

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