SRC/dsytrs_rook.f(3)

💖 NAME 💖

Okay so bestie, this page is SRC/dsytrs_rook.f from the Library Functions Manual — that's the whole name section, and it's already giving main character energy. 🫶

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✨ SYNOPSIS ✨

🌈 Functions/Subroutines 🌈

Here's the subroutine tea, no cap:

subroutine dsytrs_rook (uplo, n, nrhs, a, lda, ipiv, b, ldb, info)

DSYTRS_ROOK

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💅 Function/Subroutine Documentation 💅

Behold the full signature, bestie — copied exactly because we do not play with technical details:

subroutine dsytrs_rook (character uplo, integer n, integer nrhs, double
precision, dimension( lda, * ) a, integer lda, integer, dimension( * )
ipiv, double precision, dimension( ldb, * ) b, integer ldb, integer
info)

DSYTRS_ROOK — yes, that's the one. Periodt.

🎯 Purpose 🎯

Purpose, and it's literally iconic: DSYTRS_ROOK solves a system of linear equations A*X = B with a real symmetric matrix A using the factorization A = U*D*U**T or A = L*D*L**T computed by DSYTRF_ROOK. 💅✨

🎀 Parameters 🎀

• UPLO — UPLO is CHARACTER*1. It specifies whether the details of the factorization are stored as an upper or lower triangular matrix. = 'U': Upper triangular, form is A = U*D*U**T; = 'L': Lower triangular, form is A = L*D*L**T.
• N — N is INTEGER. The order of the matrix A. N >= 0.
• NRHS — NRHS is INTEGER. The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0.
• A — A is DOUBLE PRECISION array, dimension (LDA,N). The block diagonal matrix D and the multipliers used to obtain the factor U or L as computed by DSYTRF_ROOK.
• LDA — LDA is INTEGER. The leading dimension of the array A. LDA >= max(1,N).
• IPIV — IPIV is INTEGER array, dimension (N). Details of the interchanges and the block structure of D as determined by DSYTRF_ROOK.
• B — B is DOUBLE PRECISION array, dimension (LDB,NRHS). On entry, the right hand side matrix B. On exit, the solution matrix X.
• LDB — LDB is INTEGER. The leading dimension of the array B. LDB >= max(1,N).
• INFO — INFO is INTEGER. = 0: successful exit. < 0: if INFO = -i, the i-th argument had an illegal value.

👑 Author 👑

The author squad, respectfully:

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

🌸 Contributors 🌸

• April 2012, Igor Kozachenko, Computer Science Division, University of California, Berkeley
• September 2007, Sven Hammarling, Nicholas J. Higham, Craig Lucas, School of Mathematics, University of Manchester

📍 Definition at line 134 of file dsytrs_rook.f.

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💖 Author 💖

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Bye bestie 🦋 — cute little footer moment: this is LAPACK Version 3.12.0, page SRC/dsytrs_rook.f(3). Stay slay, and remember that linear algebra is a vibe. 💜✨