ZLANHS(3)

💖 ZLANHS(3) — bestie edition 💖

okay so the header on this one points at /home/abui...RC/zlanhs.f(3), and the manual name is folded in right here: welcome to ZLANHS(3) from the Library Functions Manual. slay. ✨

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🎀 NAME 🎀

The NAME section is literally just this source path, no cap:

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/zlanhs.f

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✨ SYNOPSIS ✨

Functions/Subroutines

double precision function ZLANHS (norm, n, a, lda, work)

ZLANHS returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of an upper Hessenberg matrix. 💅

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🦋 Function/Subroutine Documentation 🦋

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

ZLANHS returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of an upper Hessenberg matrix. yes, we're saying it again, because that's literally the function's whole vibe. 🫶

🌸 Purpose 🌸

ZLANHS returns the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a Hessenberg matrix A. 🔥

⭐ Returns ⭐

ZLANHS

ZLANHS = ( 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 lil caveat, bestie. 🫡

👑 Parameters 👑

• NORM — NORM is CHARACTER*1. Specifies the value to be returned in ZLANHS as described above.
• N — N is INTEGER. The order of the matrix A. N >= 0. When N = 0, ZLANHS is set to zero.
• A — A is COMPLEX*16 array, dimension (LDA,N). The n by n upper Hessenberg matrix A; the part of A below the first sub-diagonal is not referenced.
• LDA — LDA is INTEGER. The leading dimension of the array A. LDA >= max(N,1).
• WORK — WORK is DOUBLE PRECISION array, dimension (MAX(1,LWORK)), where LWORK >= N 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 108 of file zlanhs.f.

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💜 Author 💜

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

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cute sign-off: the footer says LAPACK Version 3.12.0 and points back to /home/abui...RC/zlanhs.f(3). that's the whole page, bestie — go forth and norm responsibly. 🌈💅