Packages

object pinv extends UFunc

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

This implementation is identical to the breeze implementation, but enables the user to set a custom threshold for the inversion of the elements diagonal matrix.

Note

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
UFunc, AnyRef, Any
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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] = breeze.generic.UFunc.InPlaceImpl[pinv.this.type, V]
    Definition Classes
    UFunc
  6. type InPlaceImpl2[V1, V2] = breeze.generic.UFunc.InPlaceImpl2[pinv.this.type, V1, V2]
    Definition Classes
    UFunc
  7. type InPlaceImpl3[V1, V2, V3] = breeze.generic.UFunc.InPlaceImpl3[pinv.this.type, V1, V2, V3]
    Definition Classes
    UFunc
  8. type SinkImpl[S, V] = breeze.generic.UFunc.SinkImpl[pinv.this.type, S, V]
    Definition Classes
    UFunc
  9. type SinkImpl2[S, V1, V2] = breeze.generic.UFunc.SinkImpl2[pinv.this.type, S, V1, V2]
    Definition Classes
    UFunc
  10. type SinkImpl3[S, V1, V2, V3] = breeze.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( ... )
  11. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  12. def equals(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  13. def finalize(): Unit
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  14. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
  15. def hashCode(): Int
    Definition Classes
    AnyRef → Any
  16. final def inPlace[V, V2, V3](v: V, v2: V2, v3: V3)(implicit impl: breeze.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: breeze.generic.UFunc.InPlaceImpl2[pinv.this.type, V, V2]): V
    Definition Classes
    UFunc
  18. final def inPlace[V](v: V)(implicit impl: breeze.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
  22. final def notifyAll(): Unit
    Definition Classes
    AnyRef
  23. implicit val pinvFromSVD: Impl2[DenseMatrix[Double], Double, DenseMatrix[Double]]
  24. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  25. def toString(): String
    Definition Classes
    AnyRef → Any
  26. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  27. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  28. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  29. final def withSink[S](s: S): WithSinkHelp[pinv.this.type, S]
    Definition Classes
    UFunc

Inherited from UFunc

Inherited from AnyRef

Inherited from Any

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