.TH SLACON 1 "November 2006" " LAPACK auxiliary routine (version 3.1) " " LAPACK auxiliary routine (version 3.1) " .SH NAME SLACON - the 1-norm of a square, real matrix A .SH SYNOPSIS .TP 19 SUBROUTINE SLACON( N, V, X, ISGN, EST, KASE ) .TP 19 .ti +4 INTEGER KASE, N .TP 19 .ti +4 REAL EST .TP 19 .ti +4 INTEGER ISGN( * ) .TP 19 .ti +4 REAL V( * ), X( * ) .SH PURPOSE SLACON estimates the 1-norm of a square, real matrix A. Reverse communication is used for evaluating matrix-vector products. .SH ARGUMENTS .TP 7 N (input) INTEGER The order of the matrix. N >= 1. .TP 7 V (workspace) REAL array, dimension (N) On the final return, V = A*W, where EST = norm(V)/norm(W) (W is not returned). .TP 7 X (input/output) REAL array, dimension (N) On an intermediate return, X should be overwritten by A * X, if KASE=1, A\(aq * X, if KASE=2, and SLACON must be re-called with all the other parameters unchanged. .TP 7 ISGN (workspace) INTEGER array, dimension (N) .TP 7 EST (input/output) REAL On entry with KASE = 1 or 2 and JUMP = 3, EST should be unchanged from the previous call to SLACON. On exit, EST is an estimate (a lower bound) for norm(A). .TP 7 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\(aq * X. On the final return from SLACON, KASE will again be 0. .SH FURTHER DETAILS Contributed by Nick Higham, University of Manchester. .br Originally named SONEST, dated March 16, 1988. .br 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.