/home/abui...RC/sgesv.f(3)

🎀 NAME 🎀

Hii bestie! This is the sgesv.f(3) page from the Library Functions Manual, and it’s all about this file: /home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/sgesv.f ✨

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✨ SYNOPSIS ✨

Functions/Subroutines

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

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💖 Function/Subroutine Documentation 💖

subroutine SGESV (integer n, integer nrhs, real, dimension( lda, * ) a,
     integer lda, integer, dimension( * ) ipiv, real, dimension( ldb, * ) b,
     integer ldb, integer info)

🔥 Purpose 🔥

Okay so SGESV computes the solution to a real system of linear equations

A * X = B,

where A is an N-by-N matrix and X and B are N-by-NRHS matrices. Slay. 💅

The LU decomposition with partial pivoting and row interchanges is used to factor A as

A = P * L * U,

where P is a permutation matrix, L is unit lower triangular, and U is upper triangular. Then the factored form of A is used to solve the system of equations A * X = B. Periodt. ✨

🌸 Parameters 🌸

• N — N is INTEGER. The number of linear equations, i.e., 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). On entry, the N-by-N coefficient matrix A. On exit, the factors L and U from the factorization A = P*L*U; the unit diagonal elements of L are not stored.
• LDA — LDA is INTEGER. The leading dimension of the array A. LDA >= max(1,N).
• IPIV — IPIV is INTEGER array, dimension (N). The pivot indices that define the permutation matrix P; row i of the matrix was interchanged with row IPIV(i).
• B — B is REAL array, dimension (LDB,NRHS). On entry, the N-by-NRHS matrix of right hand side matrix B. On exit, if INFO = 0, the N-by-NRHS 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
  • > 0: if INFO = i, U(i,i) is exactly zero. The factorization has been completed, but the factor U is exactly singular, so the solution could not be computed.

💜 Author 💜

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

Definition at line 123 of file sgesv.f.

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👑 Author 👑

Generated automatically by Doxygen for LAPACK from the source code.

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Cute sign-off, bestie: the source/version is LAPACK Version 3.12.0, the footer page path is /home/abui...RC/sgesv.f(3), and the footer doesn’t list a date on this page. Byeee 🫶💅