SRC/spotrs.f(3)

✨ SRC/spotrs.f — the LAPACK library page, bestie edition ✨

Okay so picture this: it's giving linear algebra main character energy. This is the manual page for SRC/spotrs.f from the LAPACK Library Functions Manual, and honestly? She slays. Let me put you on. 🫶

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💖 NAME 💖

SRC/spotrs.f — no cap, that's the whole name. Short, iconic, does what it says on the tin. 👑

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🌸 SYNOPSIS 🌸

🎀 Functions/Subroutines 🎀

• subroutine spotrs (uplo, n, nrhs, a, lda, b, ldb, info) — bestie this is literally the whole vibe. She's SPOTRS, she solves stuff, she's that girl. ✨

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🦋 Function/Subroutine Documentation 🦋

subroutine spotrs (character uplo, integer n, integer nrhs, real, dimension(
    lda, * ) a, integer lda, real, dimension( ldb, * ) b, integer ldb,
    integer info)

SPOTRS — say her name, say her name. 💅

🌈 Purpose 🌈

!> SPOTRS solves a system of linear equations A*X = B with a symmetric positive definite matrix A using the Cholesky factorization A = U**T*U or A = L*L**T computed by SPOTRF.

Real talk: you hand her a Cholesky factor from SPOTRF, you hand her some right-hand sides, and she hands you back the solution. Lowkey genius behavior. 🧠✨

🍓 Parameters 🍓

• UPLO — she's CHARACTER*1 and she tells you which triangle of A is stored, periodt:
  • = 'U': Upper triangle of A is stored;
  • = 'L': Lower triangle of A is stored.
• N — N is INTEGER. It's the order of the matrix A. The rules? N >= 0. No exceptions bestie. 😌
• NRHS — NRHS is INTEGER. This is the number of right hand sides, i.e., the number of columns of the matrix B. Constraint check: NRHS >= 0. 🎯
• A — A is REAL array, dimension (LDA,N). She's holding the triangular factor U or L from the Cholesky factorization A = U**T*U or A = L*L**T, as computed by SPOTRF. Like she literally inherited this from SPOTRF, respect the lineage. 👑
• LDA — LDA is INTEGER. The leading dimension of the array A. The rule: LDA >= max(1,N). Don't play with her. 🚨
• B — B is REAL array, dimension (LDB,NRHS). On entry, the right hand side matrix B. On exit, the solution matrix X. Glow-up moment, honestly. ✨
• LDB — LDB is INTEGER. The leading dimension of the array B. Constraint: LDB >= max(1,N). Rules are rules. 💅
• INFO — INFO is INTEGER, the vibe check / status report:
  • = 0: successful exit 🎉
  • < 0: if INFO = -i, the i-th argument had an illegal value 💀 (you gave her bad input, not her fault)

🌟 Author 🌟

The legends behind this, fr fr:

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

Definition at line 109 of file spotrs.f. (iykyk 📍)

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👑 Author 👑

Generated automatically by Doxygen for LAPACK from the source code. The robots did this one, bestie. 🤖💖

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✨ Sign-off time ✨ — this whole thing is from LAPACK, Version 3.12.0, and the page came into the world as SRC/spotrs.f(3). That's the tea. Stay slay, solve your systems, and remember: positive definite is a lifestyle. 🦋💜