csytrs (l) - Linux Manuals
csytrs: solves a system of linear equations A*X = B with a complex symmetric matrix A using the factorization A = U*D*U**T or A = L*D*L**T computed by CSYTRF
Command to display csytrs
manual in Linux: $ man l csytrs
NAME
CSYTRS - solves a system of linear equations A*X = B with a complex symmetric matrix A using the factorization A = U*D*U**T or A = L*D*L**T computed by CSYTRF
SYNOPSIS
- SUBROUTINE CSYTRS(
-
UPLO, N, NRHS, A, LDA, IPIV, B, LDB, INFO )
-
CHARACTER
UPLO
-
INTEGER
INFO, LDA, LDB, N, NRHS
-
INTEGER
IPIV( * )
-
COMPLEX
A( LDA, * ), B( LDB, * )
PURPOSE
CSYTRS solves a system of linear equations A*X = B with a complex
symmetric matrix A using the factorization A = U*D*U**T or
A = L*D*L**T computed by CSYTRF.
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.
- A (input) COMPLEX array, dimension (LDA,N)
-
The block diagonal matrix D and the multipliers used to
obtain the factor U or L as computed by CSYTRF.
- LDA (input) INTEGER
-
The leading dimension of the array A. LDA >= max(1,N).
- IPIV (input) INTEGER array, dimension (N)
-
Details of the interchanges and the block structure of D
as determined by CSYTRF.
- 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 csytrs
- csytrs (3)
- csytrf (l) - computes the factorization of a complex symmetric matrix A using the Bunch-Kaufman diagonal pivoting method
- csytri (l) - computes the inverse of a complex symmetric indefinite matrix A using the factorization A = U*D*U**T or A = L*D*L**T computed by CSYTRF
- csytf2 (l) - computes the factorization of a complex symmetric matrix A using the Bunch-Kaufman diagonal pivoting method
- csycon (l) - estimates the reciprocal of the condition number (in the 1-norm) of a complex symmetric matrix A using the factorization A = U*D*U**T or A = L*D*L**T computed by CSYTRF
- csyequb (l) - computes row and column scalings intended to equilibrate a symmetric matrix A and reduce its condition number (with respect to the two-norm)
- csymm (l) - performs one of the matrix-matrix operations C := alpha*A*B + beta*C,
- csymv (l) - performs the matrix-vector operation y := alpha*A*x + beta*y,