SRC/clanhe.f(3)

💖 NAME 💖

Welcome to SRC/clanhe.f(3) from the Library Functions Manual, bestie — this is the page for SRC/clanhe.f. ✨

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🦋 SYNOPSIS 🦋

🧚 Functions/Subroutines 🧚

• real function clanhe (norm, uplo, n, a, lda, work) — CLANHE returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a complex Hermitian matrix. 💅

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👑 Function/Subroutine Documentation 👑

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

CLANHE returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a complex Hermitian matrix. periodt. 💖

🌸 Purpose 🌸

Okay so the purpose is literally this: CLANHE 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 hermitian matrix A. 🫶

⭐ Returns ⭐

CLANHE

!>
!>    CLANHE = ( 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 that  max(abs(A(i,j)))  is not a consistent matrix norm.
!>

Important vibe check: max(abs(A(i,j))) is not a consistent matrix norm. 🙂‍↕️

🎀 Parameters 🎀

• NORM — NORM is CHARACTER*1 and it specifies the value to be returned in CLANHE as described above. ✨
• UPLO — UPLO is CHARACTER*1 and it specifies whether the upper or lower triangular part of the hermitian 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, the order of the matrix A. N >= 0. When N = 0, CLANHE is set to zero. 🧮
• A — A is COMPLEX array, dimension (LDA,N), the hermitian 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.
  • Note that the imaginary parts of the diagonal elements need not be set and are assumed to be zero. 🫧
• LDA — LDA is INTEGER, 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 123 of file clanhe.f. 📌

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🌈 Author 🌈

Generated automatically by Doxygen for LAPACK from the source code.

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bye bestie 💖 — this footer energy is LAPACK Version 3.12.0, source SRC/clanhe.f(3). 🎀✨