DGET31(3)

💖 DGET31(3) 💖

okay bestie, welcome to this Library Functions Manual page for DGET31(3) — the header/footer path vibe is /home/abui...IG/dget31.f(3), and we are about to read the whole thing together. no cap, every parameter stays. 🫶

🌸 NAME 🌸

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/EIG/dget31.f

that's the file, periodt. 💅

✨ SYNOPSIS ✨

Functions/Subroutines

subroutine DGET31 (rmax, lmax, ninfo, knt)
           DGET31

🦋 Function/Subroutine Documentation 🦋

subroutine DGET31 (double precision rmax, integer lmax, integer, dimension(
     2 ) ninfo, integer knt)
       DGET31

🎀 Purpose: 🎀

DGET31 tests DLALN2, 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 — is DOUBLE PRECISION. Value of the largest test ratio.
• LMAX — is INTEGER. Example number where largest test ratio achieved.
• 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 — 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 dget31.f.

👑 Author 👑

Generated automatically by Doxygen for LAPACK from the source code.

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k bye bestie! 💅 this page's source/version is LAPACK Version 3.12.0, and the footer's date/source slot is /home/abui...IG/dget31.f(3) — no separate calendar date is listed there, just that path and version, periodt. 🎀