csptrs (l) - Linux Manuals
csptrs: solves a system of linear equations A*X = B with a complex symmetric matrix A stored in packed format using the factorization A = U*D*U**T or A = L*D*L**T computed by CSPTRF
Command to display csptrs
manual in Linux: $ man l csptrs
NAME
CSPTRS - solves a system of linear equations A*X = B with a complex symmetric matrix A stored in packed format using the factorization A = U*D*U**T or A = L*D*L**T computed by CSPTRF
SYNOPSIS
- SUBROUTINE CSPTRS(
-
UPLO, N, NRHS, AP, IPIV, B, LDB, INFO )
-
CHARACTER
UPLO
-
INTEGER
INFO, LDB, N, NRHS
-
INTEGER
IPIV( * )
-
COMPLEX
AP( * ), B( LDB, * )
PURPOSE
CSPTRS solves a system of linear equations A*X = B with a complex
symmetric matrix A stored in packed format using the factorization
A = U*D*U**T or A = L*D*L**T computed by CSPTRF.
ARGUMENTS
- UPLO (input) CHARACTER*1
-
Specifies whether the details of the factorization are stored
as an upper or lower triangular matrix.
= aqUaq: Upper triangular, form is A = U*D*U**T;
= aqLaq: Lower triangular, form is A = L*D*L**T.
- N (input) INTEGER
-
The order of the 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.
- AP (input) COMPLEX array, dimension (N*(N+1)/2)
-
The block diagonal matrix D and the multipliers used to
obtain the factor U or L as computed by CSPTRF, stored as a
packed triangular matrix.
- IPIV (input) INTEGER array, dimension (N)
-
Details of the interchanges and the block structure of D
as determined by CSPTRF.
- 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 i-th argument had an illegal value
Pages related to csptrs
- csptrs (3)
- csptrf (l) - computes the factorization of a complex symmetric matrix A stored in packed format using the Bunch-Kaufman diagonal pivoting method
- csptri (l) - computes the inverse of a complex symmetric indefinite matrix A in packed storage using the factorization A = U*D*U**T or A = L*D*L**T computed by CSPTRF
- cspcon (l) - estimates the reciprocal of the condition number (in the 1-norm) of a complex symmetric packed matrix A using the factorization A = U*D*U**T or A = L*D*L**T computed by CSPTRF
- cspmv (l) - performs the matrix-vector operation y := alpha*A*x + beta*y,
- cspr (l) - performs the symmetric rank 1 operation A := alpha*x*conjg( xaq ) + A,
- csprfs (l) - improves the computed solution to a system of linear equations when the coefficient matrix is symmetric indefinite and packed, and provides error bounds and backward error estimates for the solution
- cspsv (l) - computes the solution to a complex system of linear equations A * X = B,