.TH "TESTING/LIN/csyt03.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*- .ad l .nh .SH NAME TESTING/LIN/csyt03.f .SH SYNOPSIS .br .PP .SS "Functions/Subroutines" .in +1c .ti -1c .RI "subroutine \fBcsyt03\fP (uplo, n, a, lda, ainv, ldainv, work, ldwork, rwork, rcond, resid)" .br .RI "\fBCSYT03\fP " .in -1c .SH "Function/Subroutine Documentation" .PP .SS "subroutine csyt03 (character uplo, integer n, complex, dimension( lda, * ) a, integer lda, complex, dimension( ldainv, * ) ainv, integer ldainv, complex, dimension( ldwork, * ) work, integer ldwork, real, dimension( * ) rwork, real rcond, real resid)" .PP \fBCSYT03\fP .PP \fBPurpose:\fP .RS 4 .PP .nf CSYT03 computes the residual for a complex symmetric matrix times its inverse: norm( I - A*AINV ) / ( N * norm(A) * norm(AINV) * EPS ) where EPS is the machine epsilon\&. .fi .PP .RE .PP \fBParameters\fP .RS 4 \fIUPLO\fP .PP .nf UPLO is CHARACTER*1 Specifies whether the upper or lower triangular part of the complex symmetric matrix A is stored: = 'U': Upper triangular = 'L': Lower triangular .fi .PP .br \fIN\fP .PP .nf N is INTEGER The number of rows and columns of the matrix A\&. N >= 0\&. .fi .PP .br \fIA\fP .PP .nf A is COMPLEX array, dimension (LDA,N) The original complex symmetric matrix A\&. .fi .PP .br \fILDA\fP .PP .nf LDA is INTEGER The leading dimension of the array A\&. LDA >= max(1,N) .fi .PP .br \fIAINV\fP .PP .nf AINV is COMPLEX array, dimension (LDAINV,N) On entry, the inverse of the matrix A, stored as a symmetric matrix in the same format as A\&. In this version, AINV is expanded into a full matrix and multiplied by A, so the opposing triangle of AINV will be changed; i\&.e\&., if the upper triangular part of AINV is stored, the lower triangular part will be used as work space\&. .fi .PP .br \fILDAINV\fP .PP .nf LDAINV is INTEGER The leading dimension of the array AINV\&. LDAINV >= max(1,N)\&. .fi .PP .br \fIWORK\fP .PP .nf WORK is COMPLEX array, dimension (LDWORK,N) .fi .PP .br \fILDWORK\fP .PP .nf LDWORK is INTEGER The leading dimension of the array WORK\&. LDWORK >= max(1,N)\&. .fi .PP .br \fIRWORK\fP .PP .nf RWORK is REAL array, dimension (N) .fi .PP .br \fIRCOND\fP .PP .nf RCOND is REAL The reciprocal of the condition number of A, computed as RCOND = 1/ (norm(A) * norm(AINV))\&. .fi .PP .br \fIRESID\fP .PP .nf RESID is REAL norm(I - A*AINV) / ( N * norm(A) * norm(AINV) * EPS ) .fi .PP .RE .PP \fBAuthor\fP .RS 4 Univ\&. of Tennessee .PP Univ\&. of California Berkeley .PP Univ\&. of Colorado Denver .PP NAG Ltd\&. .RE .PP .PP Definition at line \fB124\fP of file \fBcsyt03\&.f\fP\&. .SH "Author" .PP Generated automatically by Doxygen for LAPACK from the source code\&.