chetrs_rook (3) Linux Manual Page

chetrs_rook.f –

Synopsis

Functions/Subroutines

subroutine chetrs_rook (UPLO, N, NRHS, A, LDA, IPIV, B, LDB, INFO)
CHETRS_ROOK computes the solution to a system of linear equations A * X = B for HE matrices using factorization obtained with one of the bounded diagonal pivoting methods (max 2 interchanges)

Function/Subroutine Documentation

subroutine chetrs_rook (characterUPLO, integerN, integerNRHS, complex, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, complex, dimension( ldb, * )B, integerLDB, integerINFO)

CHETRS_ROOK computes the solution to a system of linear equations A * X = B for HE matrices using factorization obtained with one of the bounded diagonal pivoting methods (max 2 interchanges)

Purpose:

 CHETRS_ROOK solves a system of linear equations A*X = B with a complex

 Hermitian matrix A using the factorization A = U*D*U**H or

 A = L*D*L**H computed by CHETRF_ROOK.

 

Parameters:

UPLO

 UPLO is CHARACTER*1

 Specifies whether the details of the factorization are stored

 as an upper or lower triangular matrix.

 = ‘U’: Upper triangular, form is A = U*D*U**H;

 = ‘L’: Lower triangular, form is A = L*D*L**H.

N

 N is INTEGER

 The order of the matrix A. N >= 0.

NRHS

 NRHS is INTEGER

 The number of right hand sides, i.e., the number of columns

 of the matrix B. NRHS >= 0.

A

 A is COMPLEX array, dimension (LDA,N)

 The block diagonal matrix D and the multipliers used to

 obtain the factor U or L as computed by CHETRF_ROOK.

LDA

 LDA is INTEGER

 The leading dimension of the array A. LDA >= max(1,N).

IPIV

 IPIV is INTEGER array, dimension (N)

 Details of the interchanges and the block structure of D

 as determined by CHETRF_ROOK.

B

 B is COMPLEX array, dimension (LDB,NRHS)

 On entry, the right hand side matrix B.

 On exit, the solution matrix X.

LDB

 LDB is INTEGER

 The leading dimension of the array B. LDB >= max(1,N).

INFO

 INFO is INTEGER

 = 0: successful exit

 < 0: if INFO = -i, the i-th argument had an illegal value

 

Author:

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Date:

November 2013

Contributors:

 November 2013, Igor Kozachenko,

 Computer Science Division,

 University of California, Berkeley

 September 2007, Sven Hammarling, Nicholas J. Higham, Craig Lucas,

 School of Mathematics,

 University of Manchester

 

Definition at line 136 of file chetrs_rook.f.

Author

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