SRC/zlanht.f(3)

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version 3.12.1 · 7 versions
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💅 SRC/zlanht.f(3) — the zlanht glow-up

okay so bestie, welcome to the SRC/zlanht.f page from the LAPACK Library Functions Manual ✨ this is the whole thing, every last crumb, so grab a boba and let's go 🧋

✨ SYNOPSIS ✨

Functions/Subroutines

double precision function zlanht (norm, n, d, e)

ZLANHT 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 tridiagonal matrix. that's the whole job, and she does it flawlessly 💅

🎀 Function/Subroutine Documentation 🎀

double precision function zlanht (character norm, integer n, double
    precision, dimension( * ) d, complex*16, dimension( * ) e)

ZLANHT 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 tridiagonal matrix. literally her entire personality 🦋

Purpose:

ZLANHT 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 tridiagonal matrix A.

Returns

ZLANHT

    ZLANHT = ( 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. (she said what she said 🙈 it's giving "yes but also technically no" and honestly? iconic.)

Parameters

  • NORM — NORM is CHARACTER*1. Specifies the value to be returned in ZLANHT as described above. it's the vibe selector, choose wisely 🎀
  • N — N is INTEGER. The order of the matrix A. N >= 0. When N = 0, ZLANHT is set to zero. no matrix, no problem, she returns 0 and moves on 💀
  • D — D is DOUBLE PRECISION array, dimension (N). The diagonal elements of A. the main character energy of the matrix 👑
  • E — E is COMPLEX*16 array, dimension (N-1). The (n-1) sub-diagonal or super-diagonal elements of A. the supporting cast, but make it complex 🔥

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 100 of file zlanht.f. noted for the record bestie ✨

🌈 Author 🌈

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lowkey a reminder: this page is auto-generated, so the facts are the facts — don't come for me if the source changed, go check zlanht.f itself 🫶

and that's the whole page, bestie, no cap 🌸 mwah 💜 — signed off with love from LAPACK, Version 3.12.0, dated at the bottom of the page as SRC/zlanht.f(3) ⭐

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