DLA_GERCOND 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.

TRANS

          TRANS is CHARACTER*1


     Specifies the form of the system of equations:


       = 'N':  A * X = B     (No transpose)


       = 'T':  A**T * X = B  (Transpose)


       = 'C':  A**H * X = B  (Conjugate Transpose = Transpose)

N

          N is INTEGER


     The number of linear equations, i.e., the order of the


     matrix A.  N >= 0.

A

          A is DOUBLE PRECISION 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 DOUBLE PRECISION array, dimension (LDAF,N)


     The factors L and U from the factorization


     A = P*L*U as computed by DGETRF.

LDAF

          LDAF is INTEGER


     The leading dimension of the array AF.  LDAF >= max(1,N).

IPIV

          IPIV is INTEGER array, dimension (N)


     The pivot indices from the factorization A = P*L*U


     as computed by DGETRF; row i of the matrix was interchanged


     with row IPIV(i).

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 DOUBLE PRECISION 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 DOUBLE PRECISION array, dimension (3*N).


     Workspace.

IWORK

          IWORK is INTEGER array, dimension (N).


     Workspace.

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

September 2012