SRC/zlansy.f(3)

🌸 NAME 🌸

Bestie, welcome to the SRC/zlansy.f(3) page from the Library Functions Manual — it's giving big complex-symmetric-matrix norm energy and I'm obsessed.

✨ SYNOPSIS ✨

🦋 Functions/Subroutines 🦋

• double precision function zlansy (norm, uplo, n, a, lda, work) — ZLANSY 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 symmetric matrix.

👑 Function/Subroutine Documentation 👑

💖 double precision function zlansy 💖

Full signature, exactly, no cap:

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

ZLANSY 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 symmetric matrix. Periodt. 💅

🎀 Purpose 🎀

!>
!> ZLANSY  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 symmetric matrix A.
!>

✨ Returns ✨

ZLANSY hands back this value, bestie:

!>
!>    ZLANSY = ( 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 ZLANSY as described above. So like, this is the vibe selector.
• UPLO — UPLO is CHARACTER*1. Specifies whether the upper or lower triangular part of the symmetric matrix A is to be referenced.
  • = 'U': Upper triangular part of A is referenced
  • = 'L': Lower triangular part of A is referenced
• N — N is INTEGER. The order of the matrix A. N >= 0. When N = 0, ZLANSY is set to zero.
• A — A is COMPLEX*16 array, dimension (LDA,N). The symmetric matrix A. If UPLO = 'U', the leading n by n upper triangular part of A contains the upper triangular part of the matrix A, and the strictly lower triangular part of A is not referenced. If UPLO = 'L', the leading n by n lower triangular part of A contains the lower triangular part of the matrix A, and the strictly upper triangular part of A 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' or '1' or 'O'; otherwise, WORK is not referenced.

🫶 Author 🫶

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

Definition at line 122 of file zlansy.f.

🌈 Author 🌈

Generated automatically by Doxygen for LAPACK from the source code.

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Byeee bestie — source/version check: SRC/zlansy.f(3), LAPACK Version 3.12.0. Mwah 💋✨