STRTRS(3)

🦋 STRTRS(3) — Library Functions Manual 🦋

okay bestie, welcome to the STRTRS(3) glow-up ✨ This page lives in the Library Functions Manual, and the header path vibe is /home/abui...RC/strtrs.f(3). No cap, we're about to break down this LAPACK routine 💅

🌸 NAME 🌸

The NAME is literally the source file path, bestie:

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

✨ SYNOPSIS ✨

🦋 Functions/Subroutines 🦋

subroutine STRTRS (uplo, trans, diag, n, nrhs, a, lda, b, ldb, info)
    STRTRS

💖 Function/Subroutine Documentation 💖

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

🎀 Purpose 🎀

STRTRS solves a triangular system of the form:

A * X = B  or  A**T * X = B,

where A is a triangular matrix of order N, and B is an N-by-NRHS matrix. There is also a check to verify that A is nonsingular. Iconic behavior, honestly 🫶.

🔥 Parameters 🔥

• UPLO — is CHARACTER*1. = 'U': A is upper triangular; = 'L': A is lower triangular. Pick your triangular era 💅
• TRANS — is CHARACTER*1. Specifies the form of the system of equations: = 'N': A * X = B (No transpose); = 'T': A**T * X = B (Transpose); = 'C': A**H * X = B (Conjugate transpose = Transpose).
• DIAG — is CHARACTER*1. = 'N': A is non-unit triangular; = 'U': A is unit triangular.
• N — is INTEGER. The order of the matrix A. N >= 0.
• NRHS — is INTEGER. The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0.
• A — is REAL array, dimension (LDA,N). The triangular matrix A. If UPLO = 'U', the leading N-by-N upper triangular part of the array A contains the upper triangular matrix, and the strictly lower triangular part of A is not referenced. If UPLO = 'L', the leading N-by-N lower triangular part of the array A contains the lower triangular matrix, and the strictly upper triangular part of A is not referenced. If DIAG = 'U', the diagonal elements of A are also not referenced and are assumed to be 1.
• LDA — is INTEGER. The leading dimension of the array A. LDA >= max(1,N).
• B — is REAL array, dimension (LDB,NRHS). On entry, the right hand side matrix B. On exit, if INFO = 0, the solution matrix X.
• LDB — is INTEGER. The leading dimension of the array B. LDB >= max(1,N).
• INFO — is INTEGER. = 0: successful exit; < 0: if INFO = -i, the i-th argument had an illegal value; > 0: if INFO = i, the i-th diagonal element of A is zero, indicating that the matrix is singular and the solutions X have not been computed.

👑 Author 👑

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

Definition at line 138 of file strtrs.f.

🌈 Author 🌈

Generated automatically by Doxygen for LAPACK from the source code.

---

Final sign-off, bestie 🫶: the footer source/version is LAPACK Version 3.12.0, and the footer path is /home/abui...RC/strtrs.f(3). No separate date on the page, so I'm not inventing one 🙈. Mwah 💋