.TH "sla_porcond.f" 3 "Wed Oct 15 2014" "Version 3.4.2" "LAPACK" \" -*- nroff -*- .ad l .nh .SH NAME sla_porcond.f \- .SH SYNOPSIS .br .PP .SS "Functions/Subroutines" .in +1c .ti -1c .RI "real function \fBsla_porcond\fP (UPLO, N, A, LDA, AF, LDAF, CMODE, C, INFO, WORK, IWORK)" .br .RI "\fI\fBSLA_PORCOND\fP estimates the Skeel condition number for a symmetric positive-definite matrix\&. \fP" .in -1c .SH "Function/Subroutine Documentation" .PP .SS "real function sla_porcond (characterUPLO, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( ldaf, * )AF, integerLDAF, integerCMODE, real, dimension( * )C, integerINFO, real, dimension( * )WORK, integer, dimension( * )IWORK)" .PP \fBSLA_PORCOND\fP estimates the Skeel condition number for a symmetric positive-definite matrix\&. .PP \fBPurpose: \fP .RS 4 .PP .nf SLA_PORCOND 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 triangular factor U or L from the Cholesky factorization A = U**T*U or A = L*L**T, as computed by SPOTRF. .fi .PP .br \fILDAF\fP .PP .nf LDAF is INTEGER The leading dimension of the array AF. LDAF >= max(1,N). .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 \fBDate:\fP .RS 4 September 2012 .RE .PP .PP Definition at line 140 of file sla_porcond\&.f\&. .SH "Author" .PP Generated automatically by Doxygen for LAPACK from the source code\&.