NAME

       cla_gbrcond_x.f -

SYNOPSIS

   Functions/Subroutines
       real function cla_gbrcond_x (TRANS, N, KL, KU, AB, LDAB, AFB, LDAFB, IPIV, X, INFO, WORK,
           RWORK)
           CLA_GBRCOND_X computes the infinity norm condition number of op(A)*diag(x) for general
           banded matrices.

Function/Subroutine Documentation

   real function cla_gbrcond_x (characterTRANS, integerN, integerKL, integerKU, complex,
       dimension( ldab, * )AB, integerLDAB, complex, dimension( ldafb, * )AFB, integerLDAFB,
       integer, dimension( * )IPIV, complex, dimension( * )X, integerINFO, complex, dimension( *
       )WORK, real, dimension( * )RWORK)
       CLA_GBRCOND_X computes the infinity norm condition number of op(A)*diag(x) for general
       banded matrices.

       Purpose:

               CLA_GBRCOND_X Computes the infinity norm condition number of
               op(A) * diag(X) where X is a COMPLEX vector.

       Parameters:
           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.

           KL

                     KL is INTEGER
                The number of subdiagonals within the band of A.  KL >= 0.

           KU

                     KU is INTEGER
                The number of superdiagonals within the band of A.  KU >= 0.

           AB

                     AB is COMPLEX array, dimension (LDAB,N)
                On entry, the matrix A in band storage, in rows 1 to KL+KU+1.
                The j-th column of A is stored in the j-th column of the
                array AB as follows:
                AB(KU+1+i-j,j) = A(i,j) for max(1,j-KU)<=i<=min(N,j+kl)

           LDAB

                     LDAB is INTEGER
                The leading dimension of the array AB.  LDAB >= KL+KU+1.

           AFB

                     AFB is COMPLEX array, dimension (LDAFB,N)
                Details of the LU factorization of the band matrix A, as
                computed by CGBTRF.  U is stored as an upper triangular
                band matrix with KL+KU superdiagonals in rows 1 to KL+KU+1,
                and the multipliers used during the factorization are stored
                in rows KL+KU+2 to 2*KL+KU+1.

           LDAFB

                     LDAFB is INTEGER
                The leading dimension of the array AFB.  LDAFB >= 2*KL+KU+1.

           IPIV

                     IPIV is INTEGER array, dimension (N)
                The pivot indices from the factorization A = P*L*U
                as computed by CGBTRF; row i of the matrix was interchanged
                with row IPIV(i).

           X

                     X is COMPLEX array, dimension (N)
                The vector X in the formula op(A) * diag(X).

           INFO

                     INFO is INTEGER
                  = 0:  Successful exit.
                i > 0:  The ith argument is invalid.

           WORK

                     WORK is COMPLEX array, dimension (2*N).
                Workspace.

           RWORK

                     RWORK is REAL array, dimension (N).
                Workspace.

       Author:
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

       Date:
           September 2012

       Definition at line 153 of file cla_gbrcond_x.f.

Author

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