TESTING/EIG/dsyl01.f(3) Library Functions Manual TESTING/EIG/dsyl01.f(3) NAME TESTING/EIG/dsyl01.f SYNOPSIS Functions/Subroutines subroutine dsyl01 (thresh, nfail, rmax, ninfo, knt) DSYL01 Function/Subroutine Documentation subroutine dsyl01 (double precision thresh, integer, dimension( 3 ) nfail, double precision, dimension( 2 ) rmax, integer, dimension( 2 ) ninfo, integer knt) DSYL01 Purpose: !> !> DSYL01 tests DTRSYL and DTRSYL3, routines for solving the Sylvester matrix !> equation !> !> op(A)*X + ISGN*X*op(B) = scale*C, !> !> A and B are assumed to be in Schur canonical form, op() represents an !> optional transpose, and ISGN can be -1 or +1. Scale is an output !> less than or equal to 1, chosen to avoid overflow in X. !> !> The test code verifies that the following residual does not exceed !> the provided threshold: !> !> norm(op(A)*X + ISGN*X*op(B) - scale*C) / !> (EPS*max(norm(A),norm(B))*norm(X)) !> !> This routine complements DGET35 by testing with larger, !> random matrices, of which some require rescaling of X to avoid overflow. !> !> Parameters THRESH !> THRESH is DOUBLE PRECISION !> A test will count as if the residual, computed as !> described above, exceeds THRESH. !> NFAIL !> NFAIL is INTEGER array, dimension (3) !> NFAIL(1) = No. of times residual DTRSYL exceeds threshold THRESH !> NFAIL(2) = No. of times residual DTRSYL3 exceeds threshold THRESH !> NFAIL(3) = No. of times DTRSYL3 and DTRSYL deviate !> RMAX !> RMAX is DOUBLE PRECISION, dimension (2) !> RMAX(1) = Value of the largest test ratio of DTRSYL !> RMAX(2) = Value of the largest test ratio of DTRSYL3 !> NINFO !> NINFO is INTEGER array, dimension (2) !> NINFO(1) = No. of times DTRSYL returns an expected INFO !> NINFO(2) = No. of times DTRSYL3 returns an expected INFO !> KNT !> KNT is INTEGER !> Total number of examples tested. !> Definition at line 88 of file dsyl01.f. Author Generated automatically by Doxygen for LAPACK from the source code. LAPACK Version 3.12.0 TESTING/EIG/dsyl01.f(3)