cpbtrs.f (3) Linux Manual Page

cpbtrs.f –

Synopsis

Functions/Subroutines

subroutine cpbtrs (UPLO, N, KD, NRHS, AB, LDAB, B, LDB, INFO)
CPBTRS

Function/Subroutine Documentation

subroutine cpbtrs (characterUPLO, integerN, integerKD, integerNRHS, complex, dimension( ldab, * )AB, integerLDAB, complex, dimension( ldb, * )B, integerLDB, integerINFO)

CPBTRS

Purpose:

 CPBTRS solves a system of linear equations A*X = B with a Hermitian

 positive definite band matrix A using the Cholesky factorization

 A = U**H*U or A = L*L**H computed by CPBTRF.

 

Parameters:

UPLO

 UPLO is CHARACTER*1

 = ‘U’: Upper triangular factor stored in AB;

 = ‘L’: Lower triangular factor stored in AB.

N

 N is INTEGER

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

KD

 KD is INTEGER

 The number of superdiagonals of the matrix A if UPLO = ‘U’,

 or the number of subdiagonals if UPLO = ‘L’. KD >= 0.

NRHS

 NRHS is INTEGER

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

 of the matrix B. NRHS >= 0.

AB

 AB is COMPLEX array, dimension (LDAB,N)

 The triangular factor U or L from the Cholesky factorization

 A = U**H*U or A = L*L**H of the band matrix A, stored in the

 first KD+1 rows of the array. The j-th column of U or L is

 stored in the j-th column of the array AB as follows:

 if UPLO =’U’, AB(kd+1+i-j,j) = U(i,j) for max(1,j-kd)<=i<=j;

 if UPLO =’L’, AB(1+i-j,j) = L(i,j) for j<=i<=min(n,j+kd).

LDAB

 LDAB is INTEGER

 The leading dimension of the array AB. LDAB >= KD+1.

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 2011

Definition at line 122 of file cpbtrs.f.

Author

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