breeze.linalg

LU

object LU extends UFunc

Computes the LU factorization of the given real M-by-N matrix X such that X = P * L * U where P is a permutation matrix (row exchanges).

Upon completion, a tuple consisting of a matrix A and an integer array P.

The upper triangular portion of A resembles U whereas the lower triangular portion of A resembles L up to but not including the diagonal elements of L which are all equal to 1.

For 0 <= i < M, each element P(i) denotes whether row i of the matrix X was exchanged with row P(i-1) during computation (the offset is caused by the internal call to LAPACK).

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Type Members

  1. type Impl[V, VR] = UImpl[LU.this.type, V, VR]

    Definition Classes
    UFunc
  2. type Impl2[V1, V2, VR] = UImpl2[LU.this.type, V1, V2, VR]

    Definition Classes
    UFunc
  3. type Impl3[V1, V2, V3, VR] = UImpl3[LU.this.type, V1, V2, V3, VR]

    Definition Classes
    UFunc
  4. type InPlaceImpl[V] = generic.UFunc.InPlaceImpl[LU.this.type, V]

    Definition Classes
    UFunc
  5. type InPlaceImpl2[V1, V2] = generic.UFunc.InPlaceImpl2[LU.this.type, V1, V2]

    Definition Classes
    UFunc
  6. type InPlaceImpl3[V1, V2, V3] = generic.UFunc.InPlaceImpl3[LU.this.type, 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. implicit def LU_DM_Cast_Impl[T](implicit cast: (T) ⇒ Double): Impl[DenseMatrix[T], (DenseMatrix[Double], Array[Int])]

  7. implicit object LU_DM_Impl extends Impl[DenseMatrix[Double], (DenseMatrix[Double], Array[Int])]

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

    Definition Classes
    UFunc
  9. final def apply[V1, V2, VR](v1: V1, v2: V2)(implicit impl: Impl2[V1, V2, VR]): VR

    Definition Classes
    UFunc
  10. final def apply[V, VR](v: V)(implicit impl: Impl[V, VR]): VR

    Definition Classes
    UFunc
  11. final def asInstanceOf[T0]: T0

    Definition Classes
    Any
  12. 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
  13. def clone(): AnyRef

    Attributes
    protected[java.lang]
    Definition Classes
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    @throws( ... )
  14. final def eq(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef
  15. def equals(arg0: Any): Boolean

    Definition Classes
    AnyRef → Any
  16. def finalize(): Unit

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    protected[java.lang]
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    @throws( classOf[java.lang.Throwable] )
  17. final def getClass(): Class[_]

    Definition Classes
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  18. def hashCode(): Int

    Definition Classes
    AnyRef → Any
  19. final def inPlace[V, V2, V3](v: V, v2: V2, v3: V3)(implicit impl: generic.UFunc.InPlaceImpl3[LU.this.type, V, V2, V3]): Unit

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

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

    Definition Classes
    UFunc
  22. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any
  23. final def ne(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef
  24. final def notify(): Unit

    Definition Classes
    AnyRef
  25. final def notifyAll(): Unit

    Definition Classes
    AnyRef
  26. final def synchronized[T0](arg0: ⇒ T0): T0

    Definition Classes
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  27. def toString(): String

    Definition Classes
    AnyRef → Any
  28. final def wait(): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  29. final def wait(arg0: Long, arg1: Int): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  30. final def wait(arg0: Long): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

Inherited from UFunc

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