TESTING/EIG/sget32.f(3)

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version 3.12.1 · 2 versions
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🌸 NAME 🌸

TESTING/EIG/sget32.f

✨ SYNOPSIS ✨

🧚 Functions/Subroutines 🧚

  • subroutine sget32 (rmax, lmax, ninfo, knt) — SGET32

🫶 Function/Subroutine Documentation 🫶

subroutine sget32 (real rmax, integer lmax, integer ninfo, integer knt)

SGET32

🌈 Purpose 🌈

okay so SGET32 tests SLASY2, a routine for solving:

op(TL)*X + ISGN*X*op(TR) = SCALE*B

where TL is N1 by N1, TR is N2 by N2, and N1,N2 =1 or 2 only. X and B are N1 by N2, op() is an optional transpose, and ISGN = 1 or -1. SCALE is chosen less than or equal to 1 to avoid overflow in X.

The test condition is that the scaled residual:

norm( op(TL)*X + ISGN*X*op(TR) = SCALE*B )
     / ( max( ulp*norm(TL), ulp*norm(TR)) * norm(X), SMLNUM )

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; number of examples returned with INFO.NE.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 81 of file sget32.f.

🧚 Author 🧚

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