.TH "SRC/slacon.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*- .ad l .nh .SH NAME SRC/slacon.f .SH SYNOPSIS .br .PP .SS "Functions/Subroutines" .in +1c .ti -1c .RI "subroutine \fBslacon\fP (n, v, x, isgn, est, kase)" .br .RI "\fBSLACON\fP estimates the 1-norm of a square matrix, using reverse communication for evaluating matrix-vector products\&. " .in -1c .SH "Function/Subroutine Documentation" .PP .SS "subroutine slacon (integer n, real, dimension( * ) v, real, dimension( * ) x, integer, dimension( * ) isgn, real est, integer kase)" .PP \fBSLACON\fP estimates the 1-norm of a square matrix, using reverse communication for evaluating matrix-vector products\&. .PP \fBPurpose:\fP .RS 4 .PP .nf !> !> SLACON estimates the 1-norm of a square, real matrix A\&. !> Reverse communication is used for evaluating matrix-vector products\&. !> .fi .PP .RE .PP \fBParameters\fP .RS 4 \fIN\fP .PP .nf !> N is INTEGER !> The order of the matrix\&. N >= 1\&. !> .fi .PP .br \fIV\fP .PP .nf !> V is REAL array, dimension (N) !> On the final return, V = A*W, where EST = norm(V)/norm(W) !> (W is not returned)\&. !> .fi .PP .br \fIX\fP .PP .nf !> 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 SLACON must be re-called with all the other parameters !> unchanged\&. !> .fi .PP .br \fIISGN\fP .PP .nf !> ISGN is INTEGER array, dimension (N) !> .fi .PP .br \fIEST\fP .PP .nf !> EST is 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)\&. !> .fi .PP .br \fIKASE\fP .PP .nf !> KASE is 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**T * X\&. !> On the final return from SLACON, KASE will again be 0\&. !> .fi .PP .RE .PP \fBAuthor\fP .RS 4 Univ\&. of Tennessee .PP Univ\&. of California Berkeley .PP Univ\&. of Colorado Denver .PP NAG Ltd\&. .RE .PP \fBContributors:\fP .RS 4 Nick Higham, University of Manchester\&. .br Originally named SONEST, dated March 16, 1988\&. .RE .PP \fBReferences:\fP .RS 4 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\&. .RE .PP .PP Definition at line \fB114\fP of file \fBslacon\&.f\fP\&. .SH "Author" .PP Generated automatically by Doxygen for LAPACK from the source code\&.