lanht(3)
💅 NAME 💅
lanht — a.k.a. lan{ht,st}: the glow-up squad that measures Hermitian/symmetric tridiagonal matrices ✨
🌸 SYNOPSIS 🌸
🎀 Functions
real function clanht (norm, n, d, e)— CLANHT hands you 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. she does it all 💅double precision function dlanst (norm, n, d, e)— DLANST returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a real symmetric tridiagonal matrix.real function slanst (norm, n, d, e)— SLANST returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a real symmetric tridiagonal matrix.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.
🦋 Detailed Description 🦋
okay so this page is literally the whole friend group: four norm-finding besties, two for complex Hermitian tridiagonal matrices and two for real symmetric tridiagonal ones. same energy, different precision 💖
👑 Function Documentation 👑
🧚 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. lowkey iconic 💅
⭐ Purpose:
!>
!> 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.
!>⭐ Returns
CLANHT
!>
!> 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). Note that max(abs(A(i,j))) is not a consistent matrix norm.
!>bestie, hear me: max(abs(A(i,j))) is not a consistent matrix norm. the manpage said it, i'm just passing the message along 🫡
⭐ 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
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
⭐ Definition at line 100 of file clanht.f.
🧚 double precision function dlanst (character norm, integer n, double precision, dimension( * ) d, double precision, dimension( * ) e)
DLANST returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a real symmetric tridiagonal matrix. no cap 💖
⭐ Purpose:
!>
!> DLANST returns the value of the one norm, or the Frobenius norm, or
!> the infinity norm, or the element of largest absolute value of a
!> real symmetric tridiagonal matrix A.
!>⭐ Returns
DLANST
!>
!> DLANST = ( 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.
!>again for the people in the back: max(abs(A(i,j))) is not a consistent matrix norm 📢
⭐ Parameters
NORM
!> NORM is CHARACTER*1
!> Specifies the value to be returned in DLANST as described
!> above.
!>N
!> N is INTEGER
!> The order of the matrix A. N >= 0. When N = 0, DLANST is
!> set to zero.
!>D
!> D is DOUBLE PRECISION array, dimension (N)
!> The diagonal elements of A.
!>E
!> E is DOUBLE PRECISION 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 99 of file dlanst.f.
🧚 real function slanst (character norm, integer n, real, dimension( * ) d, real, dimension( * ) e)
SLANST returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a real symmetric tridiagonal matrix. she's giving main character energy ✨
⭐ Purpose:
!>
!> SLANST returns the value of the one norm, or the Frobenius norm, or
!> the infinity norm, or the element of largest absolute value of a
!> real symmetric tridiagonal matrix A.
!>⭐ Returns
SLANST
!>
!> SLANST = ( 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.
!>yes i'm saying it a third time: max(abs(A(i,j))) is not a consistent matrix norm. that's the whole vibe check 💀
⭐ Parameters
NORM
!> NORM is CHARACTER*1
!> Specifies the value to be returned in SLANST as described
!> above.
!>N
!> N is INTEGER
!> The order of the matrix A. N >= 0. When N = 0, SLANST is
!> set to zero.
!>D
!> D is REAL array, dimension (N)
!> The diagonal elements of A.
!>E
!> E is REAL 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 99 of file slanst.f.
🧚 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. the double-precision complex one, we stan 🎀
⭐ 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.
!>final reminder bestie: max(abs(A(i,j))) is not a consistent matrix norm. periodt 🫶
⭐ 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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that's the whole page, bestie — LAPACK Version 3.12.0, dated in the footer, love u, go compute some norms 💖✨🎀🦋🌸
📦 where this page comes from
- arch rolling: lapack-doc 3.12.1-2 · custom
- 💖 girlified by deepseek-ai/DeepSeek-V4.1-Flash-1017 on : a language model's rewrite of the original, under its terms