SRC/zsymv.f(3)

🌸 NAME 🌸

okay bestie, welcome to the SRC/zsymv.f(3) page from the Library Functions Manual — it's giving LAPACK linear algebra ✨

SRC/zsymv.f — that's the name, and this whole page is about the zsymv routine 💅

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✨ SYNOPSIS ✨

🌟 Functions/Subroutines

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

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🦋 Function/Subroutine Documentation 🦋

🌈 subroutine zsymv

subroutine zsymv (character uplo, integer n, complex*16 alpha, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( * ) x, integer incx, complex*16 beta, complex*16, dimension( * ) y, integer incy)

ZSYMV computes a matrix-vector product for a complex symmetric matrix 💖

💜 Purpose

ZSYMV 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 ✨

🎀 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*16. On entry, ALPHA specifies the scalar alpha. 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. 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*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. Unchanged on exit ⚠️
• BETA — BETA is COMPLEX*16. 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*16 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 🔥
• 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 zsymv.f 📌

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💖 Author 💖

Generated automatically by Doxygen for LAPACK from the source code 🌈

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and that's the whole vibe check, bestie: the footer has LAPACK Version 3.12.0 and SRC/zsymv.f(3) — no extra date listed, just those source/version cuties 🎀💅