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sla_porcond.f(3) LAPACK sla_porcond.f(3)

NAME

sla_porcond.f -

SYNOPSIS

Functions/Subroutines


real function sla_porcond (UPLO, N, A, LDA, AF, LDAF, CMODE, C, INFO, WORK, IWORK)
 
SLA_PORCOND estimates the Skeel condition number for a symmetric positive-definite matrix.

Function/Subroutine Documentation

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)

SLA_PORCOND estimates the Skeel condition number for a symmetric positive-definite matrix.
Purpose:
    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.
Parameters:
UPLO
          UPLO is CHARACTER*1
       = 'U':  Upper triangle of A is stored;
       = 'L':  Lower triangle of A is stored.
N
          N is INTEGER
     The number of linear equations, i.e., the order of the
     matrix A.  N >= 0.
A
          A is REAL array, dimension (LDA,N)
     On entry, the N-by-N matrix A.
LDA
          LDA is INTEGER
     The leading dimension of the array A.  LDA >= max(1,N).
AF
          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.
LDAF
          LDAF is INTEGER
     The leading dimension of the array AF.  LDAF >= max(1,N).
CMODE
          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)
C
          C is REAL array, dimension (N)
     The vector C in the formula op(A) * op2(C).
INFO
          INFO is INTEGER
       = 0:  Successful exit.
     i > 0:  The ith argument is invalid.
WORK
          WORK is REAL array, dimension (3*N).
     Workspace.
IWORK
          IWORK is INTEGER array, dimension (N).
     Workspace.
Author:
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
September 2012
Definition at line 140 of file sla_porcond.f.

Author

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