?la_syrcond_c

Computes the infinity norm condition number of op(A)*inv(diag(c)) for symmetric indefinite matrices.

Syntax

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

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

• mkl.fi

Description

The function computes the infinity norm condition number of

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

where the c is a REAL vector for cla_syrcond_c and a DOUBLE PRECISION vector for zla_syrcond_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_syrcond_c

DOUBLE COMPLEX for zla_syrcond_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. ldamax(1,n).

af

COMPLEX for cla_syrcond_c

DOUBLE COMPLEX for zla_syrcond_c

Array, DIMENSION(ldaf, *). The block diagonal matrix D and the multipliers used to obtain the factor U or L as computed by ?sytrf. The second dimension of af must be at least max(1,n).

ldaf

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

ipiv

INTEGER.

Array with DIMENSIONn. Details of the interchanges and the block structure of D as determined by ?sytrf.

c

REAL for cla_syrcond_c

DOUBLE PRECISION for zla_syrcond_c

Array c with DIMENSIONn. 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_syrcond_c

DOUBLE COMPLEX for zla_syrcond_c

Array DIMENSION 2*n. Workspace.

rwork

REAL for cla_syrcond_c

DOUBLE PRECISION for zla_syrcond_c

Array DIMENSIONn. Workspace.

Output Parameters

info

INTEGER.

If info = 0, the execution is successful.

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