SGETC2(3)

🎀 SGETC2(3) — Library Functions Manual 🎀

okay so this is the tea on SGETC2(3) from the Library Functions Manual — page path vibes: /home/abui...RC/sgetc2.f(3).

📛 NAME 📛

lowkey the NAME section is just this source file path, no cap:

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/sgetc2.f

✨ SYNOPSIS ✨

🧩 Functions/Subroutines

subroutine SGETC2 (n, a, lda, ipiv, jpiv, info)

SGETC2 computes the LU factorization with complete pivoting of the general n-by-n matrix. 💅

🧚 Function/Subroutine Documentation 🧚

   subroutine SGETC2 (integer n, real, dimension( lda, * ) a, integer lda,
       integer, dimension( * ) ipiv, integer, dimension( * ) jpiv, integer
       info)

SGETC2 computes the LU factorization with complete pivoting of the general n-by-n matrix. 🫶

🎯 Purpose

SGETC2 computes an LU factorization with 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 the Level 2 BLAS algorithm. 🔥

🧾 Parameters

• N — N is INTEGER. This is the order of matrix A. N >= 0. 💖
• A — A is REAL array, dimension (LDA, N). On entry, the n-by-n matrix A 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, i.e., 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 we try 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

Definition at line 110 of file sgetc2.f.

📝 Author

Generated automatically by Doxygen for LAPACK from the source code.

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okay bestie, that’s the whole page 💖 cute sign-off: LAPACK Version 3.12.0, source /home/abui...RC/sgetc2.f(3), and the footer has no date listed — so no date to report, periodt. 🎀✨