

 
Manual Reference Pages  ZPTTRSV (l)
NAME
ZPTTRSV  solve one of the triangular systems L * X = B, or L**H * X = B,
CONTENTS
Synopsis
Purpose
Arguments
SYNOPSIS
SUBROUTINE ZPTTRSV(

UPLO, TRANS, N, NRHS, D, E, B, LDB,
INFO )


CHARACTER
UPLO, TRANS


INTEGER
INFO, LDB, N, NRHS


DOUBLE
PRECISION D( * )


COMPLEX*16
B( LDB, * ), E( * )


PURPOSE
ZPTTRSV solves one of the triangular systems L * X = B, or L**H * X = B, U * X = B, or U**H * X = B,
where L or U is the Cholesky factor of a Hermitian positive
definite tridiagonal matrix A such that
A = U**H*D*U or A = L*D*L**H (computed by ZPTTRF).
ARGUMENTS
UPLO (input) CHARACTER*1
 
Specifies whether the superdiagonal or the subdiagonal
of the tridiagonal matrix A is stored and the form of the
factorization:
= ’U’: E is the superdiagonal of U, and A = U’*D*U;
= ’L’: E is the subdiagonal of L, and A = L*D*L’.
(The two forms are equivalent if A is real.)

TRANS (input) CHARACTER
 
Specifies the form of the system of equations:
= ’N’: L * X = B (No transpose)
= ’N’: L * X = B (No transpose)
= ’C’: U**H * X = B (Conjugate transpose)
= ’C’: L**H * X = B (Conjugate transpose)

N (input) INTEGER
 
The order of the tridiagonal matrix A. N >= 0.

NRHS (input) INTEGER
 
The number of right hand sides, i.e., the number of columns
of the matrix B. NRHS >= 0.

D (input) REAL array, dimension (N)
 
The n diagonal elements of the diagonal matrix D from the
factorization computed by ZPTTRF.

E (input) COMPLEX array, dimension (N1)
 
The (n1) offdiagonal elements of the unit bidiagonal
factor U or L from the factorization computed by ZPTTRF
(see UPLO).

B (input/output) COMPLEX array, dimension (LDB,NRHS)
 
On entry, the right hand side matrix B.
On exit, the solution matrix X.

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

INFO (output) INTEGER
 
= 0: successful exit
< 0: if INFO = i, the ith argument had an illegal value


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