SRC/zgetrf.f(3)

💖 SRC/zgetrf.f(3) 💖

okay so bestie, this page is from the Library Functions Manual, and it's literally all about zgetrf — the LU-factorization main character. No cap, we're keeping every detail. ✨

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🌸 NAME 🌸

SRC/zgetrf.f

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✨ SYNOPSIS ✨

🎀 Functions/Subroutines 🎀

subroutine zgetrf (m, n, a, lda, ipiv, info)

ZGETRF

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🦋 Function/Subroutine Documentation 🦋

subroutine zgetrf (integer m, integer n, complex*16, dimension( lda, * ) a,
     integer lda, integer, dimension( * ) ipiv, integer info)

ZGETRF

🎀 Purpose 🎀

okay so ZGETRF computes an LU factorization of a general M-by-N matrix A using partial pivoting with row interchanges. No cap. 🫶

The factorization has the form:

A = P * L * U

where P is a permutation matrix, L is lower triangular with unit diagonal elements (lower trapezoidal if m > n), and U is upper triangular (upper trapezoidal if m < n). Slay. ✨

This is the right-looking Level 3 BLAS version of the algorithm. Periodt. 💅

🔥 Parameters 🔥

• M — M is INTEGER. The number of rows of the matrix A. M >= 0. 💖
• N — N is INTEGER. The number of columns of the matrix A. N >= 0. 🌸
• A — A is COMPLEX*16 array, dimension (LDA,N). On entry, the M-by-N matrix to be factored. 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,M). 🔥
• IPIV — IPIV is INTEGER array, dimension (min(M,N)). The pivot indices; for 1 <= i <= min(M,N), row i of the matrix was interchanged with row IPIV(i). 👑
• 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, and division by zero will occur if it is used to solve a system of equations. 😭

👑 Author 👑

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

📍 Definition at line 107 of file zgetrf.f.

👑 Author 👑 (the auto-generated one)

Generated automatically by Doxygen for LAPACK from the source code. ✨

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xoxo, bestie — this was LAPACK Version 3.12.0 from SRC/zgetrf.f(3) 💅💖