SGET54(3)

💅 SGET54 💅

okay so bestie, welcome to the sget54(3) page — this is a LAPACK library function, and honestly? she's a vibe. let's get into it 🫶

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🌸 NAME 🌸

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/EIG/sget54.f

like, that's the whole file path. she lives deep in the TESTING/EIG directory and she's proud of it 💅

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✨ SYNOPSIS ✨

Functions/Subroutines

subroutine SGET54 (n, a, lda, b, ldb, s, lds, t, ldt, u, ldu, v, ldv,
    work, result)
    SGET54

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🦋 Function/Subroutine Documentation 🦋

subroutine SGET54 (integer n, real, dimension( lda, * ) a, integer lda,
    real, dimension( ldb, * ) b, integer ldb, real, dimension( lds, * ) s,
    integer lds, real, dimension( ldt, * ) t, integer ldt, real, dimension(
    ldu, * ) u, integer ldu, real, dimension( ldv, * ) v, integer ldv, real,
    dimension( * ) work, real result)

SGET54 — say it with me 🔥

🎀 Purpose 🎀

okay so here's what she actually does, no cap:

!>
!> SGET54 checks a generalized decomposition of the form
!>
!>          A = U*S*V'  and B = U*T* V'
!>
!> where ' means transpose and U and V are orthogonal.
!>
!> Specifically,
!>
!>  RESULT = ||( A - U*S*V', B - U*T*V' )|| / (||( A, B )||*n*ulp )
!>

so like, ' means transpose, and U and V are orthogonal — that's the whole setup. she's checking a generalized decomposition and reporting back a RESULT. main character energy fr fr 👑

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💖 Parameters 💖

• N — !> N is INTEGER — !> The size of the matrix. If it is zero, SGET54 does nothing. — !> It must be at least zero. — so zero is allowed, she just dips out and does ✨nothing✨ 😌
• A — !> A is REAL array, dimension (LDA, N) — !> The original (unfactored) matrix A.
• LDA — !> LDA is INTEGER — !> The leading dimension of A. It must be at least 1 — !> and at least N.
• B — !> B is REAL array, dimension (LDB, N) — !> The original (unfactored) matrix B.
• LDB — !> LDB is INTEGER — !> The leading dimension of B. It must be at least 1 — !> and at least N.
• S — !> S is REAL array, dimension (LDS, N) — !> The factored matrix S.
• LDS — !> LDS is INTEGER — !> The leading dimension of S. It must be at least 1 — !> and at least N.
• T — !> T is REAL array, dimension (LDT, N) — !> The factored matrix T.
• LDT — !> LDT is INTEGER — !> The leading dimension of T. It must be at least 1 — !> and at least N.
• U — !> U is REAL array, dimension (LDU, N) — !> The orthogonal matrix on the left-hand side in the — !> decomposition.
• LDU — !> LDU is INTEGER — !> The leading dimension of U. LDU must be at least N and — !> at least 1.
• V — !> V is REAL array, dimension (LDV, N) — !> The orthogonal matrix on the left-hand side in the — !> decomposition.
• LDV — !> LDV is INTEGER — !> The leading dimension of V. LDV must be at least N and — !> at least 1.
• WORK — !> WORK is REAL array, dimension (3*N**2) — that's 3*N**2, she needs room to work, respect it 🫶
• RESULT — !> RESULT is REAL — !> The value RESULT, It is currently limited to 1/ulp, to — !> avoid overflow. Errors are flagged by RESULT=10/ulp.

🚨 heads up bestie: RESULT is capped at 1/ulp to dodge overflow, and errors get flagged by RESULT=10/ulp. so if you see that number, something's up 👀

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🌈 Author 🌈

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

Definition at line 154 of file sget54.f.

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⭐ Author ⭐

Generated automatically by Doxygen for LAPACK from the source code. (yes, another Author section, she's just thorough like that 💀)

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okay that's the whole page, you ate that 🍓 and one last thing — this whole thing is LAPACK, Version 3.12.0, dated /home/abui...IG/sget54.f(3) — mwah, bye bestie, slay 💜🧚‍♀️🎀