ZSPCON - Online Linux Manual Page

Section : 1
Updated : November 2008
Source : LAPACK routine (version 3.2)
Note : LAPACK routine (version 3.2)
NAMEZSPCON - 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 ZSPTRF
SYNOPSISSUBROUTINE ZSPCON(  UPLO, N, AP, IPIV, ANORM, RCOND, WORK, INFO )  CHARACTER UPLO  INTEGER INFO, N  DOUBLE PRECISION ANORM, RCOND  INTEGER IPIV( * )  COMPLEX*16 AP( * ), WORK( * )
PURPOSEZSPCON 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 ZSPTRF. An estimate is obtained for norm(inv(A)), and the reciprocal of the condition number is computed as RCOND = 1 / (ANORM * norm(inv(A))).
ARGUMENTSUPLO (input) CHARACTER*1  Specifies whether the details of the factorization are stored as an upper or lower triangular matrix. = 'U': Upper triangular, form is A = U*D*U**T;
= 'L': Lower triangular, form is A = L*D*L**T. N (input) INTEGER  The order of the matrix A. N >= 0. AP (input) COMPLEX*16 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 ZSPTRF, 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 ZSPTRF. ANORM (input) DOUBLE PRECISION  The 1-norm of the original matrix A. RCOND (output) DOUBLE PRECISION  The reciprocal of the condition number of the matrix A, computed as RCOND = 1/(ANORM * AINVNM), where AINVNM is an estimate of the 1-norm of inv(A) computed in this routine. WORK (workspace) COMPLEX*16 array, dimension (2*N)  INFO (output) INTEGER  = 0: successful exit
< 0: if INFO = -i, the i-th argument had an illegal value 0
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