SLANGE(3)

💅 SLANGE(3) 💅

okay bestie, welcome to slange.f(3) — yep, this is the Library Functions Manual page for SLANGE, and it's genuinely serving matrix-norm realness. 🫶

🌸 NAME 🌸

• /home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/slange.f — the file this page is documenting. no cap.

🦋 SYNOPSIS 🦋

Functions/Subroutines

• real function SLANGE (norm, m, n, a, lda, work) — SLANGE 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 🌈

real function SLANGE (character norm, integer m, integer n, real, dimension( lda, * ) a, integer lda, real, dimension( * ) work)

SLANGE 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 🔥

SLANGE returns the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a real matrix A. 💅

💖 Returns 💖

SLANGE

SLANGE = ( 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).

⚠️ note: max(abs(A(i,j))) is not a consistent matrix norm. periodt.

🎀 Parameters 🎀

• NORM — NORM is CHARACTER*1. Specifies the value to be returned in SLANGE as described above.
• M — M is INTEGER. The number of rows of the matrix A. M >= 0. When M = 0, SLANGE is set to zero.
• N — N is INTEGER. The number of columns of the matrix A. N >= 0. When N = 0, SLANGE is set to zero.
• A — A is REAL 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 REAL 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 113 of file slange.f.

🌟 Author 🌟

Generated automatically by Doxygen for LAPACK from the source code.

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okay that's the whole read, bestie. this one's from LAPACK, Version 3.12.0, and the footer path is /home/abui...RC/slange.f(3). mwah 💋✨