ZGETC2(3)

💅 ZGETC2(3)

okay bestie, this is the ZGETC2(3) page from the Library Functions Manual — and yes, it’s giving linear algebra main character energy. Let’s get into it. 💖

🌸 NAME 🌸

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/zgetc2.f

✨ SYNOPSIS ✨

🦋 Functions/Subroutines

• subroutine ZGETC2 (n, a, lda, ipiv, jpiv, info) — ZGETC2 computes the LU factorization with complete pivoting of the general n-by-n matrix.

💖 Function/Subroutine Documentation 💖

subroutine ZGETC2 (integer n, complex*16, dimension( lda, * ) a, integer lda, integer, dimension( * ) ipiv, integer, dimension( * ) jpiv, integer info)

ZGETC2 computes the LU factorization with complete pivoting of the general n-by-n matrix.

🎯 Purpose:

okay so ZGETC2 computes an LU factorization, using complete pivoting, of the n-by-n matrix A. The factorization has the form A = P * L * U * Q, where P and Q are permutation matrices, L is lower triangular with unit diagonal elements and U is upper triangular.

This is a level 1 BLAS version of the algorithm. 💅

🧚 Parameters

• N — N is INTEGER. The order of the matrix A. N >= 0.
• A — A is COMPLEX*16 array, dimension (LDA, N). On entry, the n-by-n matrix to be factored. On exit, the factors L and U from the factorization A = P*L*U*Q; the unit diagonal elements of L are not stored. If U(k, k) appears to be less than SMIN, U(k, k) is given the value of SMIN, giving a nonsingular perturbed system.
• 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; for 1 <= i <= N, row i of the matrix has been interchanged with row IPIV(i).
• JPIV — JPIV is INTEGER array, dimension (N). The pivot indices; for 1 <= j <= N, column j of the matrix has been interchanged with column JPIV(j).
• INFO — INFO is INTEGER
  • = 0: successful exit
  • > 0: if INFO = k, U(k, k) is likely to produce overflow if one tries to solve for x in Ax = b. So U is perturbed to avoid the overflow.

👑 Author

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

🌈 Contributors:

• Bo Kagstrom and Peter Poromaa, Department of Computing Science, Umea University, S-901 87 Umea, Sweden.

📍 Definition at line 110 of file zgetc2.f.

🤖 Author

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later, bestie 🫶 — footer vibes are LAPACK Version 3.12.0 and /home/abui...RC/zgetc2.f(3). 💅✨