TESTING/EIG/zglmts.f(3)

🌸 NAME

okay so this page is TESTING/EIG/zglmts.f, and it lives in the Library Functions Manual — literally the LAPACK testing page for the zglmts subroutine. It’s giving “I test ZGGGLM” energy, and we’re gonna go through every single parameter because bestie deserves the full tea. 💅

✨ SYNOPSIS

🧚 Functions/Subroutines

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

🎀 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

💖 Purpose

Bestie, ZGLMTS tests ZGGGLM — a subroutine for solving the generalized linear model problem. That’s the whole purpose. It’s the vibe check for the solver. ✨

🌸 Parameters

• N — N is INTEGER. The number of rows of the matrices A and B. N >= 0. ✨
• M — M is INTEGER. The number of columns of the matrix A. M >= 0. 💖
• P — P is INTEGER. The number of columns of the matrix B. P >= 0. 🎀
• A — A is COMPLEX*16 array, dimension (LDA,M). The N-by-M matrix A.
• AF — AF is COMPLEX*16 array, dimension (LDA,M).
• LDA — LDA is INTEGER. The leading dimension of the arrays A, AF. LDA >= max(M,N).
• B — B is COMPLEX*16 array, dimension (LDB,P). The N-by-P matrix A. (yes, it literally says A here — I’m just the messenger 😭)
• BF — BF is COMPLEX*16 array, dimension (LDB,P).
• LDB — LDB is INTEGER. The leading dimension of the arrays B, BF. LDB >= max(P,N).
• D — D is COMPLEX*16 array, dimension( N ). On input, the left hand side of the GLM.
• DF — DF is COMPLEX*16 array, dimension( N ).
• 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.
• WORK — WORK is COMPLEX*16 array, dimension (LWORK).
• LWORK — LWORK is INTEGER. The dimension of the array WORK.
• RWORK — RWORK is DOUBLE PRECISION array, dimension (M).
• RESULT — RESULT is DOUBLE PRECISION. The test ratio: 💖

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

👑 Author

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

Definition at line 144 of file zglmts.f. 🫶

🫶 Author

Generated automatically by Doxygen for LAPACK from the source code. (Doxygen said “I got this,” and honestly? Iconic.) ✨

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mwah 💋 — source/version vibes: LAPACK Version 3.12.0, page: TESTING/EIG/zglmts.f(3). The footer doesn’t list a separate date, so we’re not inventing one, periodt. 🎀