table of contents
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/EIG/zsyl01.f(3) | Library Functions Manual | /home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/EIG/zsyl01.f(3) |
NAME¶
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/EIG/zsyl01.f
SYNOPSIS¶
Functions/Subroutines¶
subroutine ZSYL01 (thresh, nfail, rmax, ninfo, knt)
ZSYL01
Function/Subroutine Documentation¶
subroutine ZSYL01 (double precision thresh, integer, dimension( 3 ) nfail, double precision, dimension( 2 ) rmax, integer, dimension( 2 ) ninfo, integer knt)¶
ZSYL01
Purpose:
!> !> ZSYL01 tests ZTRSYL and ZTRSYL3, routines for solving the Sylvester matrix !> equation !> !> op(A)*X + ISGN*X*op(B) = scale*C, !> !> where op(A) and op(B) are both upper triangular form, op() represents an !> optional conjugate 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 ZGET35 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 ZTRSYL exceeds threshold THRESH !> NFAIL(2) = No. of times residual ZTRSYL3 exceeds threshold THRESH !> NFAIL(3) = No. of times ZTRSYL3 and ZTRSYL deviate !>
RMAX
!> RMAX is DOUBLE PRECISION array, dimension (2) !> RMAX(1) = Value of the largest test ratio of ZTRSYL !> RMAX(2) = Value of the largest test ratio of ZTRSYL3 !>
NINFO
!> NINFO is INTEGER array, dimension (2) !> NINFO(1) = No. of times ZTRSYL returns an expected INFO !> NINFO(2) = No. of times ZTRSYL3 returns an expected INFO !>
KNT
!> KNT is INTEGER !> Total number of examples tested. !>
Definition at line 88 of file zsyl01.f.
Author¶
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