SRC/chetrs.f(3)

💖 SRC/chetrs.f(3)

okay bestie, welcome to the Library Functions Manual page for SRC/chetrs.f(3) — yes, we're doing Fortran linear algebra and we're gonna understand it 💅✨

🌟 NAME

SRC/chetrs.f — that's the whole name section and honestly it's giving main character energy 🎀

✨ SYNOPSIS

🧩 Functions/Subroutines

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

🧚 Function/Subroutine Documentation

subroutine chetrs (character uplo, integer n, integer nrhs, complex,
    dimension( lda, * ) a, integer lda, integer, dimension( * ) ipiv,
    complex, dimension( ldb, * ) b, integer ldb, integer info)
    CHETRS

💫 Purpose

okay so CHETRS solves a system of linear equations A*X = B with a complex Hermitian matrix A using the factorization A = U*D*U**H or A = L*D*L**H computed by CHETRF. literally the whole vibe is: you already did the factorization, now come get your solution 🫶

🧸 Parameters

• UPLO is CHARACTER*1 — 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**H; = 'L': Lower triangular, form is A = L*D*L**H. pick your triangle, bestie 🔺🔻
• N is INTEGER — the order of the matrix A. N >= 0. no negative-order nonsense, periodt ✨
• NRHS is INTEGER — the number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0. that's how many columns of B we're serving 💅
• A is COMPLEX array, dimension (LDA,N) — the block diagonal matrix D and the multipliers used to obtain the factor U or L as computed by CHETRF. iconic factorization storage, no cap 🎀
• LDA is INTEGER — the leading dimension of the array A. LDA >= max(1,N). respect the leading dimension fr fr 🌸
• IPIV is INTEGER array, dimension (N) — details of the interchanges and the block structure of D as determined by CHETRF. the receipts from CHETRF, basically 🧾
• B is COMPLEX array, dimension (LDB,NRHS) — on entry, the right hand side matrix B. On exit, the solution matrix X. glow-up: RHS in, solution out 💖
• LDB is INTEGER — the leading dimension of the array B. LDB >= max(1,N). another leading dimension check, don't skip it bestie 🦋
• INFO is INTEGER — = 0: successful exit; < 0: if INFO = -i, the i-th argument had an illegal value. so if it's negative, something got clocked as invalid 😭

🌸 Author

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

Definition at line 119 of file chetrs.f.

🖋️ Author

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Catch you later — this page's glow-up comes from LAPACK Version 3.12.0, source/page SRC/chetrs.f(3) 💜✨