BLAS/SRC/zhemv.f(3)

💖 BLAS/SRC/zhemv.f(3) — Library Functions Manual 💖

🌸 NAME 🌸

BLAS/SRC/zhemv.f

✨ SYNOPSIS ✨

Functions/Subroutines

subroutine zhemv (uplo, n, alpha, a, lda, x, incx, beta, y, incy)
    ZHEMV

okay so this is the short version: zhemv is the subroutine, and the signature is literally the line above. no cap.

🧚 Function/Subroutine Documentation 🧚

subroutine zhemv (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)
    ZHEMV

🎀 Purpose: 🎀

ZHEMV 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 hermitian matrix. iconic linear algebra behavior, 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. 💖
• N — N is INTEGER. On entry, N specifies the order of the matrix A. N must be at least zero. 🦋
• ALPHA — ALPHA is COMPLEX*16. On entry, ALPHA specifies the scalar alpha. ✨
• 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 hermitian 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 hermitian matrix and the strictly upper triangular part of A is not referenced. Note that the imaginary parts of the diagonal elements need not be set and are assumed to be zero. 🫶
• 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 ). 💅
• 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. 🌸
• INCX — INCX is INTEGER. On entry, INCX specifies the increment for the elements of X. INCX must not be zero. ⭐
• 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. 💜
• 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. 🔥

👑 Author 👑

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

📜 Further Details: 📜

• Level 2 Blas routine.
• The vector and matrix arguments are not referenced when N = 0, or M = 0.
• -- Written on 22-October-1986.
  • Jack Dongarra, Argonne National Lab.
  • Jeremy Du Croz, Nag Central Office.
  • Sven Hammarling, Nag Central Office.
  • Richard Hanson, Sandia National Labs.

Definition at line 153 of file zhemv.f.

📝 Author 📝

Generated automatically by Doxygen for LAPACK from the source code.

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and that's the whole page, bestie! 💖 This came from LAPACK Version 3.12.0, BLAS/SRC/zhemv.f(3) — and the code notes date it 22-October-1986. Mwah. 💋