DGBTRS(3)

💖 NAME 💖

okay so bestie, this is the manual page for dgbtrs.f(3) from the Library Functions Manual (aka the DGBTRS(3) page), and the actual NAME line is literally this path:

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/dgbtrs.f

That's the whole name vibe. 🫶

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✨ SYNOPSIS ✨

🎀 Functions/Subroutines 🎀

subroutine DGBTRS (trans, n, kl, ku, nrhs, ab, ldab, ipiv, b, ldb, info)

DGBTRS is the icon here. 👑

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🌸 Function/Subroutine Documentation 🌸

Here's the full signature, copied exactly because we do not play with literals:

   subroutine DGBTRS (character trans, integer n, integer kl, integer ku,
       integer nrhs, double precision, dimension( ldab, * ) ab, integer ldab,
       integer, dimension( * ) ipiv, double precision, dimension( ldb, * ) b,
       integer ldb, integer info)

DGBTRS — that's the subroutine name, periodt.

🧚 Purpose 🧚

It's giving linear-solver main character energy:

DGBTRS solves a system of linear equations
   A * X = B  or  A**T * X = B
with a general band matrix A using the LU factorization computed
by DGBTRF.

🔥 Parameters 🔥

• TRANS — CHARACTER*1. Specifies the form of the system of equations: = 'N': A * X = B (No transpose), = 'T': A**T* X = B (Transpose), = 'C': A**T* X = B (Conjugate transpose = Transpose).
• N — INTEGER. The order of the matrix A. N >= 0.
• KL — INTEGER. The number of subdiagonals within the band of A. KL >= 0.
• KU — INTEGER. The number of superdiagonals within the band of A. KU >= 0.
• NRHS — INTEGER. The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0.
• AB — DOUBLE PRECISION array, dimension (LDAB,N). Details of the LU factorization of the band matrix A, as computed by DGBTRF. U is stored as an upper triangular band matrix with KL+KU superdiagonals in rows 1 to KL+KU+1, and the multipliers used during the factorization are stored in rows KL+KU+2 to 2*KL+KU+1.
• LDAB — INTEGER. The leading dimension of the array AB. LDAB >= 2*KL+KU+1.
• IPIV — INTEGER array, dimension (N). The pivot indices; for 1 <= i <= N, row i of the matrix was interchanged with row IPIV(i).
• B — DOUBLE PRECISION array, dimension (LDB,NRHS). On entry, the right hand side matrix B. On exit, the solution matrix X.
• LDB — INTEGER. The leading dimension of the array B. LDB >= max(1,N).
• INFO — INTEGER. = 0: successful exit; < 0: if INFO = -i, the i-th argument had an illegal value.

👑 Author 👑 (the academic legends)

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

📌 Definition at line 📌

Definition at line 136 of file dgbtrs.f.

👑 Author 👑 (page credit)

Generated automatically by Doxygen for LAPACK from the source code.

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🎀 Footer sign-off, bestie: LAPACK Version 3.12.0 · source /home/abui...RC/dgbtrs.f(3) · date: not listed on this footer, so no invented date here. Periodt. 🎀