ZGLMTS(3)

✨ ZGLMTS(3) ✨

okay so bestie, buckle up 💖 this one lives in the LAPACK manual — the page header is literally /home/abui...IG/zglmts.f(3), so yes, we're deep in the source tree, and no, the path is not a vibe, it's just where the file lives 🎀

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💅 NAME

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

like. that's the whole name. it's giving "my parents named me after my address" 😭 but that's literally what the page says and we respect it 🫶

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🌸 SYNOPSIS

Functions/Subroutines

subroutine ZGLMTS (n, m, p, a, af, lda, b, bf, ldb, d, df, x, u, work,
    lwork, rwork, result)

ZGLMTS — that's her. that's the girl. 👑

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🦋 Function/Subroutine Documentation

subroutine ZGLMTS (integer n, integer m, integer p, complex*16, dimension(
    lda, * ) a, complex*16, dimension( lda, * ) af, integer lda, complex*16,
    dimension( ldb, * ) b, complex*16, dimension( ldb, * ) bf, integer ldb,
    complex*16, dimension( * ) d, complex*16, dimension( * ) df, complex*16,
    dimension( * ) x, complex*16, dimension( * ) u, complex*16, dimension(
    lwork ) work, integer lwork, double precision, dimension( * ) rwork,
    double precision result)

ZGLMTS ✨ (yes she's listed again, she contains multitudes 💜)

🎀 Purpose:

ZGLMTS tests ZGGGLM — a subroutine for solving the generalized linear model problem.

no cap, that's the whole assignment. she's a tester. she tests the solver. main character energy honestly 💅

🌈 Parameters

• N — N is INTEGER. the number of rows of the matrices A and B, and N >= 0. no negative rows babe, that's not a thing 🫶
• M — M is INTEGER. the number of columns of the matrix A, and M >= 0.
• P — P is INTEGER. the number of columns of the matrix B, and P >= 0.
• A — A is COMPLEX*16 array, dimension (LDA,M). it's the N-by-M matrix A. iconic, no notes 🌟
• AF — AF is COMPLEX*16 array, dimension (LDA,M). that's it, that's the description, that's all the page gives us 🫠
• LDA — LDA is INTEGER. the leading dimension of the arrays A, AF. LDA >= max(M,N). periodt, respect the bound ✋
• B — B is COMPLEX*16 array, dimension (LDB,P). "The N-by-P matrix A." — yes bestie, the page literally says A here. i am not fixing it. i am not touching it. we honor the source code's typos like sacred artifacts 💀🙈
• BF — BF is COMPLEX*16 array, dimension (LDB,P). again: that's the whole description. she's mysterious. she's lowkey withholding 🔥
• LDB — LDB is INTEGER. the leading dimension of the arrays B, BF. LDB >= max(P,N). same energy as LDA, same rules 💅
• D — D is COMPLEX*16 array, dimension ( N ). on input, the left hand side of the GLM. she's the goal, the target, the dream 🎯
• DF — DF is COMPLEX*16 array, dimension ( N ). no further comment from the manpage. take it up with the authors 🙈
• X — X is COMPLEX*16 array, dimension ( M ). solution vector X in the GLM problem 💖
• U — U is COMPLEX*16 array, dimension ( P ). solution vector U in the GLM problem 💖 (yes, two solution vectors, it's a whole duo, they're a package deal 🫶)
• WORK — WORK is COMPLEX*16 array, dimension (LWORK). the workspace. the backstage. the green room 🌿
• LWORK — LWORK is INTEGER. the dimension of the array WORK. that's it. that's the rule ⭐
• RWORK — RWORK is DOUBLE PRECISION array, dimension (M). (yes, dimension M — not N, don't @ me, that's what it says 😭)
• RESULT — RESULT is DOUBLE PRECISION. the test ratio:

                 norm( d - A*x - B*u )
  RESULT = -----------------------------------------
           (norm(A)+norm(B))*(norm(x)+norm(u))*EPS

like, how far off is the solve? that's the whole vibe check right there 🧚 small RESULT = she ate. big RESULT = something's sus 👀

👑 Author

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

the whole squad showed up for this one 🫶✨

📍 Definition at line 144 of file zglmts.f.

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💀 Author

Generated automatically by Doxygen for LAPACK from the source code. so a robot wrote this page and honestly? she did fine 🤖🌸

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okay that's the whole page, no crumbs left, every parameter accounted for, every bound respected, every typo preserved 💜

signing off with the footer tea: this is LAPACK, Version 3.12.0, from /home/abui...IG/zglmts.f(3) — go check your RESULT, bestie, and slay 🌈💖