SLANSY(3)

🌸 NAME 🌸

okay so bestie, this is SLANSY(3) from the Library Functions Manual — the LAPACK page for /home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/slansy.f. She is a real function, she knows her norms, and she is literally here to hand you a number. 💅

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🦋 SYNOPSIS 🦋

✨ Functions/Subroutines ✨

• real function SLANSY (norm, uplo, n, a, lda, work) — SLANSY returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a real symmetric matrix. periodt.

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💅 Function/Subroutine Documentation 💅

real function SLANSY (character norm, character uplo, integer n, real,
       dimension( lda, * ) a, integer lda, real, dimension( * ) work)

SLANSY returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a real symmetric matrix. that's the whole assignment, bestie. 🫶

🌟 Purpose 🌟

SLANSY 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 symmetric matrix A. Like… she has range. ✨

⭐ Returns ⭐

here's the whole mood board, exactly:

!>    SLANSY = ( 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 bestie: max(abs(A(i,j))) is not a consistent matrix norm. she is iconic but she is not that. 💀

🍓 Parameters 🍓

• NORM — NORM is CHARACTER*1. it specifies the value to be returned in SLANSY as described above.
• UPLO — UPLO is CHARACTER*1. it specifies whether the upper or lower triangular part of the symmetric matrix A is to be referenced. = 'U': Upper triangular part of A is referenced. = 'L': Lower triangular part of A is referenced.
• N — N is INTEGER. it's the order of the matrix A. N >= 0. When N = 0, SLANSY is set to zero.
• A — A is REAL array, dimension (LDA,N). it's the symmetric matrix A. If UPLO = 'U', the leading n by n upper triangular part of A contains the upper triangular part of the matrix A, and the strictly lower triangular part of A is not referenced. If UPLO = 'L', the leading n by n lower triangular part of A contains the lower triangular part of the matrix A, and the strictly upper triangular part of A is not referenced.
• LDA — LDA is INTEGER. it's the leading dimension of the array A. LDA >= max(N,1).
• WORK — WORK is REAL array, dimension (MAX(1,LWORK)), where LWORK >= N when NORM = 'I' or '1' or 'O'; otherwise, WORK is not referenced.

👑 Author 👑

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

Definition at line 121 of file slansy.f. 🎀

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🌈 Author 🌈

Generated automatically by Doxygen for LAPACK from the source code. the robots made this page, and honestly? they ate. 🤖✨

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stay slay, bestie — LAPACK Version 3.12.0 💖 and the footer path is /home/abui...RC/slansy.f(3) 🦋