SRC/cgesc2.f(3)

💅 NAME 💅

SRC/cgesc2.f — bestie, this is the page for the cgesc2 subroutine, and no cap, it's a whole vibe ✨

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🌸 SYNOPSIS 🌸

🎀 Functions/Subroutines

subroutine cgesc2 (n, a, lda, rhs, ipiv, jpiv, scale)

CGESC2 solves a system of linear equations using the LU factorization with complete pivoting computed by sgetc2. Lowkey iconic 🫶

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✨ Function/Subroutine Documentation ✨

subroutine cgesc2 (integer n, complex, dimension( lda, * ) a, integer lda,
    complex, dimension( * ) rhs, integer, dimension( * ) ipiv, integer,
    dimension( * ) jpiv, real scale)

CGESC2 solves a system of linear equations using the LU factorization with complete pivoting computed by sgetc2. Like, that's the whole gig, and she does it well 💖

🦋 Purpose:

!> !> CGESC2 solves a system of linear equations !> !> A * X = scale* RHS !> !> with a general N-by-N matrix A using the LU factorization with !> complete pivoting computed by CGETC2. !> !>

🌈 Parameters

• N — okay so N is INTEGER and it's literally the number of columns of the matrix A.

!> N is INTEGER !> The number of columns of the matrix A. !>

• A — A is a COMPLEX array, dimension (LDA, N). On entry it's holding the LU part of the factorization of the n-by-n matrix A computed by CGETC2: A = P * L * U * Q 👑

!> A is COMPLEX array, dimension (LDA, N) !> On entry, the LU part of the factorization of the n-by-n !> matrix A computed by CGETC2: A = P * L * U * Q !>

• LDA — LDA is INTEGER, the leading dimension of the array A. Rules are rules: LDA >= max(1, N). Periodt.

!> LDA is INTEGER !> The leading dimension of the array A. LDA >= max(1, N). !>

• RHS — RHS is a COMPLEX array, dimension N. On entry it's the right hand side vector b. On exit? It's the solution vector X — glow-up moment fr fr ✨

!> RHS is COMPLEX array, dimension N. !> On entry, the right hand side vector b. !> On exit, the solution vector X. !>

• IPIV — IPIV is INTEGER array, dimension (N). These are the pivot indices; for 1 <= i <= N, row i of the matrix has been interchanged with row IPIV(i).

!> 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). Also pivot indices, but for the columns this time: for 1 <= j <= N, column j of the matrix has been interchanged with column JPIV(j) 💅

!> 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). !>

• SCALE — SCALE is REAL. On exit, SCALE contains the scale factor. SCALE is chosen so that 0 <= SCALE <= 1 to prevent overflow in the solution — she's out here protecting you from overflow, we stan 🛡️

!> SCALE is REAL !> On exit, SCALE contains the scale factor. SCALE is chosen !> 0 <= SCALE <= 1 to prevent overflow in the solution. !>

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👑 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 114 of file cgesc2.f.

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💜 Author

Generated automatically by Doxygen for LAPACK from the source code.

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That's the whole page bestie, no skips, no summarising, we read every line 💖

LAPACK — Version 3.12.0 — SRC/cgesc2.f(3)

okay that's it, hope this slayed for you 🎀✨🦋