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NAME SLACON - estimate the 1-norm of a square, real matrix A SYNOPSIS SUBROUTINE SLACON( N, V, X, ISGN, EST, KASE ) INTEGER KASE, N REAL EST INTEGER ISGN( * ) REAL V( * ), X( * ) PURPOSE SLACON estimates the 1-norm of a square, real matrix A. Reverse communication is used for evaluating matrix-vector products. ARGUMENTS 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, indicat- ing whether X should be overwritten by A * X or A' * X. On the final return from SLACON, KASE will again be 0. FURTHER DETAILS 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.