zlacon.f(3)

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 (integerN, complex*16, dimension( n )V, complex*16, dimension( n )X, double precisionEST, integerKASE)

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.

Definition at line 115 of file zlacon.f.

Author

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