public void PackedTriangularSolveInPlace(
	MatrixTriangle uplo,
	TransposeOperation trans,
	MatrixDiagonal diag,
	int n,
	Array1D<Complex<T>> ap,
	ArraySlice<Complex<T>> x
)

Public Sub PackedTriangularSolveInPlace ( 
	uplo As MatrixTriangle,
	trans As TransposeOperation,
	diag As MatrixDiagonal,
	n As Integer,
	ap As Array1D(Of Complex(Of T)),
	x As ArraySlice(Of Complex(Of T))
)

public:
void PackedTriangularSolveInPlace(
	MatrixTriangle uplo, 
	TransposeOperation trans, 
	MatrixDiagonal diag, 
	int n, 
	Array1D<Complex<T>> ap, 
	ArraySlice<Complex<T>> x
)

member PackedTriangularSolveInPlace : 
        uplo : MatrixTriangle * 
        trans : TransposeOperation * 
        diag : MatrixDiagonal * 
        n : int * 
        ap : Array1D<Complex<'T>> * 
        x : ArraySlice<Complex<'T>> -> unit 

Parameters

uplo

Type: Extreme.MathematicsMatrixTriangle

             On entry, UPLO specifies whether the matrix is an upper or
             lower triangular matrix as follows:
                UPLO = 'U' or 'u'   A is an upper triangular matrix.
                UPLO = 'L' or 'l'   A is a lower triangular matrix.
            

trans

Type: Extreme.MathematicsTransposeOperation

             On entry, TRANS specifies the equations to be solved as
             follows:
                TRANS = 'N' or 'n'   A*x = b.
                TRANS = 'T' or 't'   AT*x = b.
                TRANS = 'C' or 'c'   AH*x = b.
            

diag

Type: Extreme.MathematicsMatrixDiagonal

             On entry, DIAG specifies whether or not A is unit
             triangular as follows:
                DIAG = 'U' or 'u'   A is assumed to be unit triangular.
                DIAG = 'N' or 'n'   A is not assumed to be unit
                                    triangular.
            

n

Type: SystemInt32

             On entry, N specifies the order of the matrix A.
             N must be at least zero.
            

ap

Type: Extreme.CollectionsArray1DComplexT

            AP is COMPLEX*16 array of DIMENSION at least
             ( ( n*( n + 1 ) )/2 ).
             Before entry with  UPLO = 'U' or 'u', the array AP must
             contain the upper triangular matrix packed sequentially,
             column by column, so that AP( 1 ) contains a( 1, 1 ),
             AP( 2 ) and AP( 3 ) contain a( 1, 2 ) and a( 2, 2 )
             respectively, and so on.
             Before entry with UPLO = 'L' or 'l', the array AP must
             contain the lower triangular matrix packed sequentially,
             column by column, so that AP( 1 ) contains a( 1, 1 ),
             AP( 2 ) and AP( 3 ) contain a( 2, 1 ) and a( 3, 1 )
             respectively, and so on.
             Note that when  DIAG = 'U' or 'u', the diagonal elements of
             A are not referenced, but are assumed to be unity.
            

x

Type: Extreme.CollectionsArraySliceComplexT

            X is COMPLEX*16 array of dimension at least
             ( 1 + ( n - 1 )*abs( INCX ) ).
             Before entry, the incremented array X must contain the n
             element right-hand side vector b. On exit, X is overwritten
             with the solution vector x.
            

             On entry, INCX specifies the increment for the elements of
             X. INCX must not be zero.
            

            No test for singularity or near-singularity is included in this
            routine. Such tests must be performed before calling this routine.
            

Further Details:

            Level 2 LinearAlgebra routine.
            -- Written on 22-October-1986.
               Jack Dongarra, Argonne National Lab.
               Jeremy Du Croz, Nag Central Office.
               Sven Hammarling, Nag Central Office.
               Richard Hanson, Sandia National Labs.
            

Authors: Univ. of Tennessee, Univ. of California Berkeley, Univ. of Colorado Denver, NAG Ltd.

Date: November 2011

Numerical Libraries

Reference