CLANSP(3)

Okay bestie, welcome to the clansp.f(3) page in the LAPACK Library Functions Manual — yes, the manual name is right there, and this page is lowkey iconic. 💅✨

💖 NAME 💖

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/clansp.f — that's the file path, no cap.

✨ SYNOPSIS ✨

🧚 Functions/Subroutines 🧚

• real function CLANSP (norm, uplo, n, ap, work) — returns the 1-norm, Frobenius norm, infinity norm, or element of largest absolute value of a symmetric matrix supplied in packed form. Slay. 💅

🌈 Function/Subroutine Documentation 🌈

real function CLANSP (character norm, character uplo, integer n, complex, dimension( * ) ap, real, dimension( * ) work) — okay so CLANSP returns the 1-norm, Frobenius norm, infinity norm, or element of largest absolute value of a symmetric matrix supplied in packed form. It's giving linear-algebra main character energy. 👑

🎯 Purpose 🎯

Real talk: CLANSP returns the value of the one norm, the Frobenius norm, the infinity norm, or the element of largest absolute value of a complex symmetric matrix A, supplied in packed form. That's the whole vibe, bestie. 🫶

🍓 Returns 🍓

CLANSP returns:

!>
!>    CLANSP = ( 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.
!>

Also, max(abs(A(i,j))) is not a consistent matrix norm — keep that in mind, bestie. That's a technical caveat, not a vibe check fail. 💀

🌸 Parameters 🌸

NORM

NORM is CHARACTER*1 — it specifies the value to be returned in CLANSP, as described above in the Returns section. No guessing, just norm energy. ⭐

UPLO

UPLO is CHARACTER*1 — it specifies whether the upper or lower triangular part of the symmetric matrix A is supplied.

• = 'U': Upper triangular part of A is supplied.
• = 'L': Lower triangular part of A is supplied.

N

N is INTEGER — the order of the matrix A. N >= 0. When N = 0, CLANSP is set to zero. Iconic zero-case behavior. 🎀

AP

AP is COMPLEX array, dimension (N*(N+1)/2) — the upper or lower triangle of the symmetric matrix A, packed columnwise in a linear array. The j-th column of A is stored in the array AP as follows:

• if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j;
• if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = A(i,j) for j<=i<=n.

That's the packed storage tea. 🍵

WORK

WORK is REAL array, dimension (MAX(1,LWORK)), where LWORK >= N when NORM = 'I' or '1' or 'O'; otherwise, WORK is not referenced. Not me keeping track of when the workspace gets ignored. 🙈

👑 Author 👑

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

Definition at line 114 of file clansp.f.

🖥️ Author 🖥️

Generated automatically by Doxygen for LAPACK from the source code. So yes, the Doxygen machine wrote this bit, bestie. 🤖💖

---

Footer sign-off: LAPACK Version 3.12.0 and /home/abui...RC/clansp.f(3) — that's the source/version and footer line, bestie. 💫