SRC/csymv.f(3)

✨ NAME ✨

SRC/csymv.f — okay so this is the page, bestie, and the manual is the LAPACK Library Functions Manual. It's all about a complex symmetric matrix-vector product routine. Math girlie icon behavior, no cap. 💅

🌸 SYNOPSIS 🌸

Functions/Subroutines

• subroutine csymv (uplo, n, alpha, a, lda, x, incx, beta, y, incy) — CSYMV computes a matrix-vector product for a complex symmetric matrix.

🎀 Function/Subroutine Documentation 🎀

subroutine csymv (character uplo, integer n, complex alpha, complex,
    dimension( lda, * ) a, integer lda, complex, dimension( * ) x, integer
    incx, complex beta, complex, dimension( * ) y, integer incy)

CSYMV computes a matrix-vector product for a complex symmetric matrix. Slay. ✨

💖 Purpose 💖

Okay so bestie, CSYMV performs the matrix-vector operation

y := alpha*A*x + beta*y,

where alpha and beta are scalars, x and y are n element vectors and A is an n by n symmetric matrix. Periodt. 🫶

🦋 Parameters 🦋

🌈 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.

On entry, ALPHA specifies the scalar alpha.

Unchanged on exit. 🦋

🍓 A

A is COMPLEX 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.

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.

Unchanged on exit. 🎀

🔥 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. 💅

🌸 X

X is COMPLEX 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.

Unchanged on exit. 👑

🎀 BETA

BETA is COMPLEX.

On entry, BETA specifies the scalar beta. When BETA is supplied as zero then Y need not be set on input.

Unchanged on exit. 💖

🦋 Y

Y is COMPLEX array, dimension at least ( 1 + ( N - 1 )*abs( INCY ) ).

Before entry, the incremented array Y must contain the n element vector y. On exit, Y is overwritten by the updated vector y. Iconic overwrite behavior. 💀

🌟 INCY

INCY is INTEGER.

On entry, INCY specifies the increment for the elements of Y. INCY must not be zero.

Unchanged on exit. ⭐

👑 Author 👑

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

Definition at line 156 of file csymv.f. 📌

💫 Author 💫

Generated automatically by Doxygen for LAPACK from the source code. Not me writing it by hand, bestie — the robots did this one. 🤖✨

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With love from LAPACK, Version 3.12.0, file SRC/csymv.f(3) — bye bestie, go slay that matrix-vector product! 💖🌈🎀