TESTING/EIG/sbdt02.f(3)

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version 3.12.1 · 2 versions
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🎀 NAME 🎀

TESTING/EIG/sbdt02.f — that's the whole name, bestie. This page is TESTING/EIG/sbdt02.f(3), and it's coming at you from the Library Functions Manual. It's giving certified LAPACK test-routine energy. ✨

✨ SYNOPSIS ✨

Functions/Subroutines

  • subroutine sbdt02 (m, n, b, ldb, c, ldc, u, ldu, work, resid) — SBDT02

💅 Function/Subroutine Documentation 💅

Okay so here's the full signature, exactly as written, no edits, no cap:

subroutine sbdt02 (integer m, integer n, real, dimension( ldb, * ) b,
    integer ldb, real, dimension( ldc, * ) c, integer ldc, real, dimension(
    ldu, * ) u, integer ldu, real, dimension( * ) work, real resid)

SBDT02

🌸 Purpose 🌸

SBDT02 tests the change of basis C = U**H * B by computing the residual

RESID = norm(B - U * C) / ( max(m,n) * norm(B) * EPS ),

where B and C are M by N matrices, U is an M by M orthogonal matrix, and EPS is the machine precision. The math is literally main character behavior. 🧮✨

🧚 Parameters 🧚

  • M — M is INTEGER. The number of rows of the matrices B and C and the order of the matrix Q. (Yes, bestie, the original says Q here — we keep it exactly, no fixing, no guessing.)
  • N — N is INTEGER. The number of columns of the matrices B and C.
  • B — B is REAL array, dimension (LDB,N). The m by n matrix B.
  • LDB — LDB is INTEGER. The leading dimension of the array B. LDB >= max(1,M).
  • C — C is REAL array, dimension (LDC,N). The m by n matrix C, assumed to contain U**H * B.
  • LDC — LDC is INTEGER. The leading dimension of the array C. LDC >= max(1,M).
  • U — U is REAL array, dimension (LDU,M). The m by m orthogonal matrix U.
  • LDU — LDU is INTEGER. The leading dimension of the array U. LDU >= max(1,M).
  • WORK — WORK is REAL array, dimension (M).
  • RESID — RESID is REAL. RESID = norm(B - U * C) / ( max(m,n) * norm(B) * EPS ),.

👑 Author 👑

  • Univ. of Tennessee
  • Univ. of California Berkeley
  • Univ. of Colorado Denver
  • NAG Ltd.

Definition at line 111 of file sbdt02.f.

👑 Author 👑

Generated automatically by Doxygen for LAPACK from the source code. Auto-generated and still iconic. 💅

That's the whole page, bestie! Source/version tea: LAPACK Version 3.12.0 — and the footer doesn't list a date, so no date to report. Bye, love you, slay! 💖✨🎀

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