slacn2.f man page

slacn2.f —

Synopsis

Functions/Subroutines

subroutine slacn2 (N, V, X, ISGN, EST, KASE, ISAVE)
SLACN2 estimates the 1-norm of a square matrix, using reverse communication for evaluating matrix-vector products.

Function/Subroutine Documentation

subroutine slacn2 (integerN, real, dimension( * )V, real, dimension( * )X, integer, dimension( * )ISGN, realEST, integerKASE, integer, dimension( 3 )ISAVE)

SLACN2 estimates the 1-norm of a square matrix, using reverse communication for evaluating matrix-vector products.

Purpose:

SLACN2 estimates the 1-norm of a square, real 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 REAL array, dimension (N)
On the final return, V = A*W,  where  EST = norm(V)/norm(W)
(W is not returned).

X

 X is REAL array, dimension (N)
On an intermediate return, X should be overwritten by
      A * X,   if KASE=1,
      A**T * X,  if KASE=2,
and SLACN2 must be re-called with all the other parameters
unchanged.

ISGN

ISGN is INTEGER array, dimension (N)

EST

 EST is REAL
On entry with KASE = 1 or 2 and ISAVE(1) = 3, EST should be
unchanged from the previous call to SLACN2.
On exit, EST is an estimate (a lower bound) for norm(A).

KASE

 KASE is INTEGER
On the initial call to SLACN2, 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**T * X.
On the final return from SLACN2, KASE will again be 0.

ISAVE

 ISAVE is INTEGER array, dimension (3)
ISAVE is used to save variables between calls to SLACN2

Author:

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Date:

September 2012

Further Details:

Originally named SONEST, dated March 16, 1988.

This is a thread safe version of SLACON, which uses the array ISAVE
in place of a SAVE statement, as follows:

   SLACON     SLACN2
    JUMP     ISAVE(1)
    J        ISAVE(2)
    ITER     ISAVE(3)

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 137 of file slacn2.f.

Author

Generated automatically by Doxygen for LAPACK from the source code.

Referenced By

slacn2(3) is an alias of slacn2.f(3).

Sat Nov 16 2013 Version 3.4.2 LAPACK