SRC/ssytrs_rook.f(3)

okay so bestie, welcome to the SRC/ssytrs_rook.f(3) page from the Library Functions Manual — it's giving linear-algebra main character energy and we're gonna get through it together, no cap 💖

💅 NAME

SRC/ssytrs_rook.f — that's the name, periodt. it's the page for ssytrs_rook and we're moving on 🫶

✨ SYNOPSIS ✨

Functions/Subroutines

here's the quick vibe check:

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

🦋 Function/Subroutine Documentation

bestie, the full signature is literally right here:

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

yes, that's a lot of arguments. every one is iconic and every one matters. let's go 💅

🎀 Purpose

SSYTRS_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 SSYTRF_ROOK. that's the whole assignment, and it ate ✨

🌸 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 REAL array, dimension (LDA,N). the block diagonal matrix D and the multipliers used to obtain the factor U or L as computed by SSYTRF_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 SSYTRF_ROOK.

B

B is REAL 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

• 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 ssytrs_rook.f.

🌈 Author

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