NAME

       clacon.f -

SYNOPSIS

   Functions/Subroutines
       subroutine clacon (N, V, X, EST, KASE)
           CLACON estimates the 1-norm of a square matrix, using reverse communication for
           evaluating matrix-vector products.

Function/Subroutine Documentation

   subroutine clacon (integerN, complex, dimension( n )V, complex, dimension( n )X, realEST,
       integerKASE)
       CLACON estimates the 1-norm of a square matrix, using reverse communication for evaluating
       matrix-vector products.

       Purpose:

            CLACON estimates the 1-norm of a square, complex matrix A.
            Reverse communication is used for evaluating matrix-vector products.

       Parameters:
           N

                     N is INTEGER
                    The order of the matrix.  N >= 1.

           V

                     V is COMPLEX array, dimension (N)
                    On the final return, V = A*W,  where  EST = norm(V)/norm(W)
                    (W is not returned).

           X

                     X is COMPLEX array, dimension (N)
                    On an intermediate return, X should be overwritten by
                          A * X,   if KASE=1,
                          A**H * X,  if KASE=2,
                    where A**H is the conjugate transpose of A, and CLACON must be
                    re-called with all the other parameters unchanged.

           EST

                     EST is REAL
                    On entry with KASE = 1 or 2 and JUMP = 3, EST should be
                    unchanged from the previous call to CLACON.
                    On exit, EST is an estimate (a lower bound) for norm(A).

           KASE

                     KASE is INTEGER
                    On the initial call to CLACON, KASE should be 0.
                    On an intermediate return, KASE will be 1 or 2, indicating
                    whether X should be overwritten by A * X  or A**H * X.
                    On the final return from CLACON, KASE will again be 0.

       Author:
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

       Date:
           September 2012

       Further Details:
           Originally named CONEST, dated March 16, 1988.
            Last modified: April, 1999

       Contributors:
           Nick Higham, University of Manchester

       References:
           N.J. Higham, 'FORTRAN codes for estimating the one-norm of
             a real or complex matrix, with applications to condition estimation', ACM Trans.
           Math. Soft., vol. 14, no. 4, pp. 381-396, December 1988.

       Definition at line 115 of file clacon.f.

Author

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