NAME

       zlacon.f -

SYNOPSIS

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

Function/Subroutine Documentation

   subroutine zlacon (integer N, complex*16, dimension( n ) V, complex*16, dimension( n ) X,
       double precision EST, integer KASE)
       ZLACON estimates the 1-norm of a square matrix, using reverse communication for evaluating
       matrix-vector products.

       Purpose:

            ZLACON 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*16 array, dimension (N)
                    On the final return, V = A*W,  where  EST = norm(V)/norm(W)
                    (W is not returned).

           X

                     X is COMPLEX*16 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 ZLACON must be
                    re-called with all the other parameters unchanged.

           EST

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

           KASE

                     KASE is INTEGER
                    On the initial call to ZLACON, 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 ZLACON, 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.

Author

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