ZLANHT(3)

🌸 NAME 🌸

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✨ 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. 🫶

💖 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. 👑

🎀 Purpose 🎀

okay so the whole point, literally:

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. 🚨

🌈 Parameters 🌈

💅 NORM

NORM is CHARACTER*1 Specifies the value to be returned in ZLANHT as described above. ✨

🌸 N

N is INTEGER The order of the matrix A. N >= 0. When N = 0, ZLANHT is set to zero. 💀

🦋 D

D is DOUBLE PRECISION array, dimension (N) The diagonal elements of A.

🎀 E

E is COMPLEX*16 array, dimension (N-1) The (n-1) sub-diagonal or super-diagonal elements of A.

🫶 Author 🫶

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

Definition at line 100 of file zlanht.f. 📍

🌟 Author 🌟

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