csycon (l)  Linux Man Pages
csycon: estimates the reciprocal of the condition number (in the 1norm) of 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 csycon
manual in Linux: $ man l csycon
NAME
CSYCON  estimates the reciprocal of the condition number (in the 1norm) of a complex symmetric matrix A using the factorization A = U*D*U**T or A = L*D*L**T computed by CSYTRF
SYNOPSIS
 SUBROUTINE CSYCON(

UPLO, N, A, LDA, IPIV, ANORM, RCOND, WORK,
INFO )

CHARACTER
UPLO

INTEGER
INFO, LDA, N

REAL
ANORM, RCOND

INTEGER
IPIV( * )

COMPLEX
A( LDA, * ), WORK( * )
PURPOSE
CSYCON estimates the reciprocal of the condition number (in the
1norm) of a complex symmetric matrix A using the factorization
A = U*D*U**T or A = L*D*L**T computed by CSYTRF.
An estimate is obtained for norm(inv(A)), and the reciprocal of the
condition number is computed as RCOND = 1 / (ANORM * norm(inv(A))).
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.
 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.
 ANORM (input) REAL

The 1norm of the original matrix A.
 RCOND (output) REAL

The reciprocal of the condition number of the matrix A,
computed as RCOND = 1/(ANORM * AINVNM), where AINVNM is an
estimate of the 1norm of inv(A) computed in this routine.
 WORK (workspace) COMPLEX array, dimension (2*N)

 INFO (output) INTEGER

= 0: successful exit
< 0: if INFO = i, the ith argument had an illegal value
Pages related to csycon
 csycon (3)
 csyequb (l)  computes row and column scalings intended to equilibrate a symmetric matrix A and reduce its condition number (with respect to the twonorm)
 csymm (l)  performs one of the matrixmatrix operations C := alpha*A*B + beta*C,
 csymv (l)  performs the matrixvector operation y := alpha*A*x + beta*y,
 csyr (l)  performs the symmetric rank 1 operation A := alpha*x*( xaq ) + A,
 csyr2k (l)  performs one of the symmetric rank 2k operations C := alpha*A*Baq + alpha*B*Aaq + beta*C,
 csyrfs (l)  improves the computed solution to a system of linear equations when the coefficient matrix is symmetric indefinite, and provides error bounds and backward error estimates for the solution
 csyrfsx (l)  CSYRFSX improve the computed solution to a system of linear equations when the coefficient matrix is symmetric indefinite, and provides error bounds and backward error estimates for the solution