.TH "SRC/sla_syrcond.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*- .ad l .nh .SH NAME SRC/sla_syrcond.f .SH SYNOPSIS .br .PP .SS "Functions/Subroutines" .in +1c .ti -1c .RI "real function \fBsla_syrcond\fP (uplo, n, a, lda, af, ldaf, ipiv, cmode, c, info, work, iwork)" .br .RI "\fBSLA_SYRCOND\fP estimates the Skeel condition number for a symmetric indefinite matrix\&. " .in -1c .SH "Function/Subroutine Documentation" .PP .SS "real function sla_syrcond (character uplo, integer n, real, dimension( lda, * ) a, integer lda, real, dimension( ldaf, * ) af, integer ldaf, integer, dimension( * ) ipiv, integer cmode, real, dimension( * ) c, integer info, real, dimension( * ) work, integer, dimension( * ) iwork)" .PP \fBSLA_SYRCOND\fP estimates the Skeel condition number for a symmetric indefinite matrix\&. .PP \fBPurpose:\fP .RS 4 .PP .nf SLA_SYRCOND estimates the Skeel condition number of op(A) * op2(C) where op2 is determined by CMODE as follows CMODE = 1 op2(C) = C CMODE = 0 op2(C) = I CMODE = -1 op2(C) = inv(C) The Skeel condition number cond(A) = norminf( |inv(A)||A| ) is computed by computing scaling factors R such that diag(R)*A*op2(C) is row equilibrated and computing the standard infinity-norm condition number\&. .fi .PP .RE .PP \fBParameters\fP .RS 4 \fIUPLO\fP .PP .nf UPLO is CHARACTER*1 = 'U': Upper triangle of A is stored; = 'L': Lower triangle of A is stored\&. .fi .PP .br \fIN\fP .PP .nf N is INTEGER The number of linear equations, i\&.e\&., the order of the matrix A\&. N >= 0\&. .fi .PP .br \fIA\fP .PP .nf A is REAL array, dimension (LDA,N) On entry, the N-by-N 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 \fIAF\fP .PP .nf AF is REAL array, dimension (LDAF,N) The block diagonal matrix D and the multipliers used to obtain the factor U or L as computed by SSYTRF\&. .fi .PP .br \fILDAF\fP .PP .nf LDAF is INTEGER The leading dimension of the array AF\&. LDAF >= max(1,N)\&. .fi .PP .br \fIIPIV\fP .PP .nf IPIV is INTEGER array, dimension (N) Details of the interchanges and the block structure of D as determined by SSYTRF\&. .fi .PP .br \fICMODE\fP .PP .nf CMODE is INTEGER Determines op2(C) in the formula op(A) * op2(C) as follows: CMODE = 1 op2(C) = C CMODE = 0 op2(C) = I CMODE = -1 op2(C) = inv(C) .fi .PP .br \fIC\fP .PP .nf C is REAL array, dimension (N) The vector C in the formula op(A) * op2(C)\&. .fi .PP .br \fIINFO\fP .PP .nf INFO is INTEGER = 0: Successful exit\&. i > 0: The ith argument is invalid\&. .fi .PP .br \fIWORK\fP .PP .nf WORK is REAL array, dimension (3*N)\&. Workspace\&. .fi .PP .br \fIIWORK\fP .PP .nf IWORK is INTEGER array, dimension (N)\&. Workspace\&. .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 \fB144\fP of file \fBsla_syrcond\&.f\fP\&. .SH "Author" .PP Generated automatically by Doxygen for LAPACK from the source code\&.