SRC/zlaset.f(3)

💅 SRC/zlaset.f 💅

okay bestie, this is the SRC/zlaset.f(3) page from the Library Functions Manual — and ngl, it's a whole little icon of a LAPACK file. The title is SRC/zlaset.f, and it's here to teach you how to set a matrix's diagonal and off-diagonal elements to values you choose. Periodt. ✨

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🌸 NAME 🌸

SRC/zlaset.f — that's the name, no cap. Short, sweet, and lowkey main-character energy. 🎀

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✨ SYNOPSIS ✨

🧚 Functions/Subroutines 🧚

• subroutine zlaset (uplo, m, n, alpha, beta, a, lda) — ZLASET initializes the off-diagonal elements and the diagonal elements of a matrix to given values.

subroutine zlaset (uplo, m, n, alpha, beta, a, lda)

Like, it literally goes in and sets the off-diagonal elements and diagonal elements of a matrix to the values you give it. Slay. 💅

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💖 Function/Subroutine Documentation 💖

subroutine zlaset (character uplo, integer m, integer n, complex*16 alpha,
    complex*16 beta, complex*16, dimension( lda, * ) a, integer lda)

The whole mood: ZLASET initializes the off-diagonal elements and the diagonal elements of a matrix to given values. Iconic behavior, honestly. 🦋

🌈 Purpose 🌈

The source's Purpose block says this, verbatim:

!>
!> ZLASET initializes a 2-D array A to BETA on the diagonal and
!> ALPHA on the offdiagonals.
!>

So bestie, the diagonal gets BETA, the offdiagonals get ALPHA, and the vibe check is passed. 🔥

🎀 Parameters 🎀

UPLO

• UPLO — UPLO is CHARACTER*1. It specifies which part of matrix A gets set.
  • = 'U': the upper triangular part is set. The lower triangle is unchanged.
  • = 'L': the lower triangular part is set. The upper triangle is unchanged.
  • Otherwise: all of matrix A is set.

M

• M — M is INTEGER. On entry, M specifies the number of rows of A.

N

• N — N is INTEGER. On entry, N specifies the number of columns of A.

ALPHA

• ALPHA — ALPHA is COMPLEX*16. All the offdiagonal array elements are set to ALPHA.

BETA

• BETA — BETA is COMPLEX*16. All the diagonal array elements are set to BETA.

A

• A — A is COMPLEX*16 array, dimension (LDA,N). On entry, the m by n matrix A. On exit:

A(i,j) = ALPHA, 1 <= i <= m, 1 <= j <= n, i.ne.j;
A(i,i) = BETA , 1 <= i <= min(m,n)

LDA

• LDA — LDA is INTEGER. The leading dimension of the array A. LDA >= max(1,M).

👑 Author 👑

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

Definition at line 105 of file zlaset.f. 📌

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💫 Author 💫

Generated automatically by Doxygen for LAPACK from the source code.

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And that's the whole page, bestie 💖 This one is from LAPACK, Version 3.12.0, sourced from SRC/zlaset.f(3) and the source code. Mwah! 🫶✨