SRC/zlange.f(3)

🌸 NAME 🌸

SRC/zlange.f — yes bestie, that's the file, and this is its page from the Library Functions Manual. It's giving reference-page energy, and the main character is zlange. ✨

✨ SYNOPSIS ✨

🧚 Functions/Subroutines 🧚

• double precision function zlange (norm, m, n, a, lda, work) — ZLANGE returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of a general rectangular matrix. 🫶

🫶 Function/Subroutine Documentation 🫶

Here's the full signature, character for character:

double precision function zlange (character norm, integer m, integer n,
    complex*16, dimension( lda, * ) a, integer lda, double precision,
    dimension( * ) work)

ZLANGE returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of a general rectangular matrix. 💅

💖 Purpose 💖

Okay so ZLANGE returns the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a complex matrix A. That's the whole vibe. 🦋

🎀 Returns 🎀

ZLANGE is:

ZLANGE = ( max(abs(A(i,j))), NORM = 'M' or 'm'
         (
         ( norm1(A),         NORM = '1', 'O' or 'o'
         (
         ( normI(A),         NORM = 'I' or 'i'
         (
         ( normF(A),         NORM = 'F', 'f', 'E' or 'e'

where norm1 denotes the one norm of a matrix (maximum column sum), normI denotes the infinity norm of a matrix (maximum row sum) and normF denotes the Frobenius norm of a matrix (square root of sum of squares). No cap: max(abs(A(i,j))) is not a consistent matrix norm. 💀

🦋 Parameters 🦋

• NORM — NORM is CHARACTER*1. Specifies the value to be returned in ZLANGE as described above. 🎀
• M — M is INTEGER. The number of rows of the matrix A. M >= 0. When M = 0, ZLANGE is set to zero. 🍓
• N — N is INTEGER. The number of columns of the matrix A. N >= 0. When N = 0, ZLANGE is set to zero. 🍓
• A — A is COMPLEX*16 array, dimension (LDA,N). The m by n matrix A. 💜
• LDA — LDA is INTEGER. The leading dimension of the array A. LDA >= max(M,1). 🌈
• WORK — WORK is DOUBLE PRECISION array, dimension (MAX(1,LWORK)), where LWORK >= M when NORM = 'I'; otherwise, WORK is not referenced. 🧚

👑 Author 👑

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

Definition at line 114 of file zlange.f. 📍

👑 Author 👑

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

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okay that's the whole page, bestie 💖 This came from LAPACK, Version 3.12.0, source page SRC/zlange.f(3). No date is listed on the footer, and I'm not inventing one 💀. Periodt. 💅