?la_porcond_c

Computes the infinity norm condition number of op(A)*inv(diag(c)) for Hermitian positive-definite matrices.

Syntax

FORTRAN 77:

call cla_porcond_c( uplo, n, a, lda, af, ldaf, c, capply, info, work, rwork )

call zla_porcond_c( uplo, n, a, lda, af, ldaf, c, capply, info, work, rwork )

Include Files

  • Fortran: mkl.fi
  • C: mkl.h

Description

The function computes the infinity norm condition number of

op(A) * inv(diag(c))

where the c is a REAL vector for cla_porcond_c and a DOUBLE PRECISION vector for zla_porcond_c.

Input Parameters

uplo

CHARACTER*1. Must be 'U' or 'L'.

Specifies the triangle of A to store:

If uplo = 'U', the upper triangle of A is stored,

If uplo = 'L', the lower triangle of A is stored.

n

INTEGER. The number of linear equations, that is, the order of the matrix A; n 0.

a

COMPLEX for cla_porcond_c

DOUBLE COMPLEX for zla_porcond_c

Array, DIMENSION (lda, *). On entry, the n-by-n matrix A. The second dimension of a must be at least max(1,n).

lda

INTEGER. The leading dimension of the array a. lda max(1,n).

af

COMPLEX for cla_porcond_c

DOUBLE COMPLEX for zla_porcond_c

Array, DIMENSION (ldaf, *). The triangular factor L or U from the Cholesky factorization

A = UH*U or A = L*LH,

as computed by ?potrf.

The second dimension of af must be at least max(1,n).

ldaf

INTEGER. The leading dimension of the array af. ldaf max(1,n).

c

REAL for cla_porcond_c

DOUBLE PRECISION for zla_porcond_c

Array c with DIMENSION n. The vector c in the formula

op(A) * inv(diag(c)).

capply

LOGICAL. If .TRUE., then the function uses the vector c from the formula

op(A) * inv(diag(c)).

work

COMPLEX for cla_porcond_c

DOUBLE COMPLEX for zla_porcond_c

Array DIMENSION 2*n. Workspace.

rwork

REAL for cla_porcond_c

DOUBLE PRECISION for zla_porcond_c

Array DIMENSION n. Workspace.

Output Parameters

info

INTEGER.

If info = 0, the execution is successful.

If i > 0, the i-th parameter is invalid.

For more complete information about compiler optimizations, see our Optimization Notice.