zlacon (3) - Linux Manuals

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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