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Man Pages
TESTING/EIG/sget31.f(3) LAPACK TESTING/EIG/sget31.f(3)

TESTING/EIG/sget31.f


subroutine sget31 (rmax, lmax, ninfo, knt)
SGET31

SGET31

Purpose:


SGET31 tests SLALN2, a routine for solving
(ca A - w D)X = sB
where A is an NA by NA matrix (NA=1 or 2 only), w is a real (NW=1) or
complex (NW=2) constant, ca is a real constant, D is an NA by NA real
diagonal matrix, and B is an NA by NW matrix (when NW=2 the second
column of B contains the imaginary part of the solution). The code
returns X and s, where s is a scale factor, less than or equal to 1,
which is chosen to avoid overflow in X.
If any singular values of ca A-w D are less than another input
parameter SMIN, they are perturbed up to SMIN.
The test condition is that the scaled residual
norm( (ca A-w D)*X - s*B ) /
( max( ulp*norm(ca A-w D), SMIN )*norm(X) )
should be on the order of 1. Here, ulp is the machine precision.
Also, it is verified that SCALE is less than or equal to 1, and that
XNORM = infinity-norm(X).

Parameters

RMAX


RMAX is REAL
Value of the largest test ratio.

LMAX


LMAX is INTEGER
Example number where largest test ratio achieved.

NINFO


NINFO is INTEGER array, dimension (2)
NINFO(1) = number of examples with INFO less than 0
NINFO(2) = number of examples with INFO greater than 0

KNT


KNT is INTEGER
Total number of examples tested.

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 90 of file sget31.f.

Generated automatically by Doxygen for LAPACK from the source code.

Sun Jan 12 2025 15:13:33 Version 3.12.1

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