SRC/clanht.f(3)

okay so bestie, welcome to the Library Functions Manual page for SRC/clanht.f 💅✨ this is the entry for CLANHT, a real function that's lowkey the norm calculator for a complex Hermitian tridiagonal matrix. no cap.

🌸 NAME 🌸

SRC/clanht.f

✨ SYNOPSIS ✨

🎀 Functions/Subroutines 🎀

• real function clanht (norm, n, d, e) — CLANHT 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. 🫶

💖 Function/Subroutine Documentation 💖

okay, here's the full signature, bestie:

real function clanht (character norm, integer n, real, dimension( * ) d, complex, dimension( * ) e)

CLANHT 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.

🌟 Purpose

So the whole point, fr fr: CLANHT 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. that's the main character energy of this routine. 💜

🔥 Returns

CLANHT gives you one of these depending on NORM:

CLANHT = ( 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). heads up bestie: max(abs(A(i,j))) is not a consistent matrix norm. 💀

🎀 Parameters

• NORM — NORM is CHARACTER*1. Specifies the value to be returned in CLANHT as described above. 💅
• N — N is INTEGER. The order of the matrix A. N >= 0. When N = 0, CLANHT is set to zero.
• D — D is REAL array, dimension (N). The diagonal elements of A.
• E — E is COMPLEX array, dimension (N-1). The (n-1) sub-diagonal or super-diagonal elements of A.

👑 Author — routine docs 👑

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

Definition at line 100 of file clanht.f.

👑 Author 👑

Generated automatically by Doxygen for LAPACK from the source code.

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and that's the whole page, bestie! 🫶 the footer vibe is LAPACK Version 3.12.0 and source SRC/clanht.f(3) — no separate date on this one, so that's the version/source/date sign-off situation. periodt. 💖✨