ZSYR(3)

🌸 NAME 🌸

This is the ZSYR(3) page from the Library Functions Manual, bestie 💅. The source file is /home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/zsyr.f — that's the whole NAME tea 🫶.

---

✨ SYNOPSIS ✨

Functions/Subroutines

• subroutine ZSYR (uplo, n, alpha, x, incx, a, lda) — ZSYR performs the symmetric rank-1 update of a complex symmetric matrix.

---

🦋 Function/Subroutine Documentation 🦋

Okay so here's the full signature, no cap:

subroutine ZSYR (character uplo, integer n, complex*16 alpha, complex*16, dimension( * ) x, integer incx, complex*16, dimension( lda, * ) a, integer lda)

And the vibe check one-liner again: ZSYR performs the symmetric rank-1 update of a complex symmetric matrix. 🔥

🎀 Purpose 🎀

Here's the exact purpose block from the source, because you deserve the real thing:

!>
!> ZSYR   performs the symmetric rank 1 operation
!>
!>    A := alpha*x*x**H + A,
!>
!> where alpha is a complex scalar, x is an n element vector and A is an
!> n by n symmetric matrix.
!>

🍓 Parameters 🍓

Parameter time, bestie. Every single one, with all the receipts 💖.

UPLO

UPLO is CHARACTER*1

On entry, UPLO specifies whether the upper or lower triangular part of the array A is to be referenced as follows:

• UPLO = 'U' or 'u' — Only the upper triangular part of A is to be referenced.
• UPLO = 'L' or 'l' — Only the lower triangular part of A is to be referenced.

Unchanged on exit.

N

N is INTEGER

On entry, N specifies the order of the matrix A. N must be at least zero 🫶.

Unchanged on exit.

ALPHA

ALPHA is COMPLEX*16

On entry, ALPHA specifies the scalar alpha ✨.

Unchanged on exit.

X

X is COMPLEX*16 array, dimension at least ( 1 + ( N - 1 )*abs( INCX ) ).

Before entry, the incremented array X must contain the N-element vector x.

Unchanged on exit.

INCX

INCX is INTEGER

On entry, INCX specifies the increment for the elements of X.

INCX must not be zero — fr fr, do not do it 💀.

Unchanged on exit.

A

A is COMPLEX*16 array, dimension ( LDA, N )

Before entry, with UPLO = 'U' or 'u', the leading n by n upper triangular part of the array A must contain the upper triangular part of the symmetric matrix and the strictly lower triangular part of A is not referenced. On exit, the upper triangular part of the array A is overwritten by the upper triangular part of the updated matrix 🌈.

Before entry, with UPLO = 'L' or 'l', the leading n by n lower triangular part of the array A must contain the lower triangular part of the symmetric matrix and the strictly upper triangular part of A is not referenced. On exit, the lower triangular part of the array A is overwritten by the lower triangular part of the updated matrix 🌈.

LDA

LDA is INTEGER

On entry, LDA specifies the first dimension of A as declared in the calling (sub) program. LDA must be at least max( 1, N ) 👑.

Unchanged on exit.

💜 Author 💜

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

Definition at line 134 of file zsyr.f.

---

🧚 Author (auto-generated) 🧚

Generated automatically by Doxygen for LAPACK from the source code.

---

That's the whole page, bestie — no details left behind. Footer tea: LAPACK Version 3.12.0, source /home/abui.../SRC/zsyr.f(3). 💖✨