Packages

object pinv extends UFunc with pinvLowPrio

Computes the Moore-Penrose pseudo inverse of the given real matrix X.

The pseudo inverse is nothing but the least-squares solution to AX=B, hence: d/dX 1/2 (AX-B)2 = AT (AX-B) Solving AT (AX-B) = 0 for X yields AT AX = A^T B

> X

Linear Supertypes
pinvLowPrio, UFunc, AnyRef, Any
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Inherited
  1. pinv
  2. pinvLowPrio
  3. UFunc
  4. AnyRef
  5. Any
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Visibility
  1. Public
  2. All

Type Members

  1. type Impl[V, VR] = UImpl[pinv.this.type, V, VR]
    Definition Classes
    UFunc
  2. type Impl2[V1, V2, VR] = UImpl2[pinv.this.type, V1, V2, VR]
    Definition Classes
    UFunc
  3. type Impl3[V1, V2, V3, VR] = UImpl3[pinv.this.type, V1, V2, V3, VR]
    Definition Classes
    UFunc
  4. type Impl4[V1, V2, V3, V4, VR] = UImpl4[pinv.this.type, V1, V2, V3, V4, VR]
    Definition Classes
    UFunc
  5. type InPlaceImpl[V] = generic.UFunc.InPlaceImpl[pinv.this.type, V]
    Definition Classes
    UFunc
  6. type InPlaceImpl2[V1, V2] = generic.UFunc.InPlaceImpl2[pinv.this.type, V1, V2]
    Definition Classes
    UFunc
  7. type InPlaceImpl3[V1, V2, V3] = generic.UFunc.InPlaceImpl3[pinv.this.type, V1, V2, V3]
    Definition Classes
    UFunc
  8. type SinkImpl[S, V] = generic.UFunc.SinkImpl[pinv.this.type, S, V]
    Definition Classes
    UFunc
  9. type SinkImpl2[S, V1, V2] = generic.UFunc.SinkImpl2[pinv.this.type, S, V1, V2]
    Definition Classes
    UFunc
  10. type SinkImpl3[S, V1, V2, V3] = generic.UFunc.SinkImpl3[pinv.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
    @throws(classOf[java.lang.CloneNotSupportedException]) @native() @HotSpotIntrinsicCandidate()
  11. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  12. def equals(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef → Any
  13. final def getClass(): Class[_ <: AnyRef]
    Definition Classes
    AnyRef → Any
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  14. def hashCode(): Int
    Definition Classes
    AnyRef → Any
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  15. implicit def implFromTransposeAndSolve[T, TransT, MulRes, Result](implicit numericT: (T) => NumericOps[T], trans: CanTranspose[T, TransT], numericTrans: (TransT) => NumericOps[TransT], mul: operators.OpMulMatrix.Impl2[TransT, T, MulRes], numericMulRes: (MulRes) => NumericOps[MulRes], solve: operators.OpSolveMatrixBy.Impl2[MulRes, TransT, Result]): Impl[T, Result]

    pinv for anything that can be transposed, multiplied with that transposed, and then solved.

    pinv for anything that can be transposed, multiplied with that transposed, and then solved. This signature looks intense, but take it one step at a time.

    T

    the type of matrix

    TransT

    the transpose of that matrix

    MulRes

    the result of TransT * T

    Result

    the result of MulRes \ TransT

    numericT

    : Do I support operators

    trans

    : Can I be transposed?

    numericTrans

    : Does my transpose support operators

    mul

    : Can I multiply T and TransT?

    numericMulRes

    : Does the result of that multiplication support operators?

    solve

    : Can I solve the system of equations MulRes * x = TransT

    Definition Classes
    pinvLowPrio
  16. final def inPlace[V, V2, V3](v: V, v2: V2, v3: V3)(implicit impl: generic.UFunc.InPlaceImpl3[pinv.this.type, V, V2, V3]): V
    Definition Classes
    UFunc
  17. final def inPlace[V, V2](v: V, v2: V2)(implicit impl: generic.UFunc.InPlaceImpl2[pinv.this.type, V, V2]): V
    Definition Classes
    UFunc
  18. final def inPlace[V](v: V)(implicit impl: generic.UFunc.InPlaceImpl[pinv.this.type, V]): V
    Definition Classes
    UFunc
  19. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  20. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  21. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  22. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  23. implicit val pinvFromSVD_Double: Impl[DenseMatrix[Double], DenseMatrix[Double]]
  24. implicit val pinvFromSVD_Float: Impl[DenseMatrix[Float], DenseMatrix[Float]]
  25. final def synchronized[T0](arg0: => T0): T0
    Definition Classes
    AnyRef
  26. def toString(): String
    Definition Classes
    AnyRef → Any
  27. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])
  28. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException]) @native()
  29. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])
  30. final def withSink[S](s: S): WithSinkHelp[pinv.this.type, S]
    Definition Classes
    UFunc

Deprecated Value Members

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

    (Since version ) see corresponding Javadoc for more information.

Inherited from pinvLowPrio

Inherited from UFunc

Inherited from AnyRef

Inherited from Any

Ungrouped