.TH "TESTING/LIN/zspt03.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*- .ad l .nh .SH NAME TESTING/LIN/zspt03.f .SH SYNOPSIS .br .PP .SS "Functions/Subroutines" .in +1c .ti -1c .RI "subroutine \fBzspt03\fP (uplo, n, a, ainv, work, ldw, rwork, rcond, resid)" .br .RI "\fBZSPT03\fP " .in -1c .SH "Function/Subroutine Documentation" .PP .SS "subroutine zspt03 (character uplo, integer n, complex*16, dimension( * ) a, complex*16, dimension( * ) ainv, complex*16, dimension( ldw, * ) work, integer ldw, double precision, dimension( * ) rwork, double precision rcond, double precision resid)" .PP \fBZSPT03\fP .PP \fBPurpose:\fP .RS 4 .PP .nf !> !> ZSPT03 computes the residual for a complex symmetric packed 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*16 array, dimension (N*(N+1)/2) !> The original complex symmetric matrix A, stored as a packed !> triangular matrix\&. !> .fi .PP .br \fIAINV\fP .PP .nf !> AINV is COMPLEX*16 array, dimension (N*(N+1)/2) !> The (symmetric) inverse of the matrix A, stored as a packed !> triangular matrix\&. !> .fi .PP .br \fIWORK\fP .PP .nf !> WORK is COMPLEX*16 array, dimension (LDW,N) !> .fi .PP .br \fILDW\fP .PP .nf !> LDW is INTEGER !> The leading dimension of the array WORK\&. LDW >= max(1,N)\&. !> .fi .PP .br \fIRWORK\fP .PP .nf !> RWORK is DOUBLE PRECISION array, dimension (N) !> .fi .PP .br \fIRCOND\fP .PP .nf !> RCOND is DOUBLE PRECISION !> The reciprocal of the condition number of A, computed as !> ( 1/norm(A) ) / norm(AINV)\&. !> .fi .PP .br \fIRESID\fP .PP .nf !> RESID is DOUBLE PRECISION !> 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 \fB108\fP of file \fBzspt03\&.f\fP\&. .SH "Author" .PP Generated automatically by Doxygen for LAPACK from the source code\&.