SLACON(l) ) SLACON(l)
SLACON - estimate the 1-norm of a square, real matrix A
SUBROUTINE SLACON( N, V, X, ISGN, EST, KASE )
INTEGER KASE, N
INTEGER ISGN( * )
REAL V( * ), X( * )
SLACON estimates the 1-norm of a square, real matrix A. Reverse communication is used for
evaluating matrix-vector products.
N (input) INTEGER
The order of the matrix. N >= 1.
V (workspace) REAL array, dimension (N)
On the final return, V = A*W, where EST = norm(V)/norm(W) (W is not returned).
X (input/output) REAL array, dimension (N)
On an intermediate return, X should be overwritten by A * X, if KASE=1, A' * X,
if KASE=2, and SLACON must be re-called with all the other parameters unchanged.
ISGN (workspace) INTEGER array, dimension (N)
EST (output) REAL
An estimate (a lower bound) for norm(A).
KASE (input/output) INTEGER
On the initial call to SLACON, 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' * X. On
the final return from SLACON, KASE will again be 0.
Contributed by Nick Higham, University of Manchester.
Originally named SONEST, dated March 16, 1988.
Reference: 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.
LAPACK version 3.0 15 June 2000 SLACON(l)