cptsv.f (3)  Linux Manuals
NAME
cptsv.f 
SYNOPSIS
Functions/Subroutines
subroutine cptsv (N, NRHS, D, E, B, LDB, INFO)
CPTSV computes the solution to system of linear equations A * X = B for PT matrices
Function/Subroutine Documentation
subroutine cptsv (integerN, integerNRHS, real, dimension( * )D, complex, dimension( * )E, complex, dimension( ldb, * )B, integerLDB, integerINFO)
CPTSV computes the solution to system of linear equations A * X = B for PT matrices
Purpose:

CPTSV computes the solution to a complex system of linear equations A*X = B, where A is an NbyN Hermitian positive definite tridiagonal matrix, and X and B are NbyNRHS matrices. A is factored as A = L*D*L**H, and the factored form of A is then used to solve the system of equations.
Parameters:

N
N is INTEGER The order of the matrix A. N >= 0.
NRHSNRHS is INTEGER The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0.
DD is REAL array, dimension (N) On entry, the n diagonal elements of the tridiagonal matrix A. On exit, the n diagonal elements of the diagonal matrix D from the factorization A = L*D*L**H.
EE is COMPLEX array, dimension (N1) On entry, the (n1) subdiagonal elements of the tridiagonal matrix A. On exit, the (n1) subdiagonal elements of the unit bidiagonal factor L from the L*D*L**H factorization of A. E can also be regarded as the superdiagonal of the unit bidiagonal factor U from the U**H*D*U factorization of A.
BB is COMPLEX array, dimension (LDB,NRHS) On entry, the NbyNRHS right hand side matrix B. On exit, if INFO = 0, the NbyNRHS solution matrix X.
LDBLDB is INTEGER The leading dimension of the array B. LDB >= max(1,N).
INFOINFO is INTEGER = 0: successful exit < 0: if INFO = i, the ith argument had an illegal value > 0: if INFO = i, the leading minor of order i is not positive definite, and the solution has not been computed. The factorization has not been completed unless i = N.
Author:

Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
 September 2012
Definition at line 116 of file cptsv.f.
Author
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