BLAS/SRC/zhpmv.f(3)

📦
version 3.12.1 · 4 versions
, in arch rolling

🌸 NAME 🌸

okay so bestie, this is the manual page for BLAS/SRC/zhpmv.f — and it lives in the Library Functions Manual. That's the whole name situation, and honestly? iconic 💅✨

✨ SYNOPSIS ✨

🦋 Functions/Subroutines 🦋

subroutine zhpmv (uplo, n, alpha, ap, x, incx, beta, y, incy)
    ZHPMV

💖 Function/Subroutine Documentation 💖

Here's the full signature, no cap:

subroutine zhpmv (character uplo, integer n, complex*16 alpha, complex*16,
    dimension(*) ap, complex*16, dimension(*) x, integer incx, complex*16
    beta, complex*16, dimension(*) y, integer incy)
    ZHPMV

🎀 Purpose 🎀

ZHPMV 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, supplied in packed form. slay 💖

🫶 Parameters 🫶

🎀 UPLO 🎀

UPLO is CHARACTER*1.

On entry, UPLO specifies whether the upper or lower triangular part of the matrix A is supplied in the packed array AP as follows:

  • UPLO = 'U' or 'u' — the upper triangular part of A is supplied in AP.
  • UPLO = 'L' or 'l' — the lower triangular part of A is supplied in AP.

🎀 N 🎀

N is INTEGER.

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

🎀 ALPHA 🎀

ALPHA is COMPLEX*16.

On entry, ALPHA specifies the scalar alpha.

🎀 AP 🎀

AP is COMPLEX*16 array, dimension at least ( ( n*( n + 1 ) )/2 ).

  • Before entry with UPLO = 'U' or 'u', the array AP must contain the upper triangular part of the hermitian matrix packed sequentially, column by column, so that AP( 1 ) contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 1, 2 ) and a( 2, 2 ) respectively, and so on.
  • Before entry with UPLO = 'L' or 'l', the array AP must contain the lower triangular part of the hermitian matrix packed sequentially, column by column, so that AP( 1 ) contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 2, 1 ) and a( 3, 1 ) respectively, and so on.
  • Note that the imaginary parts of the diagonal elements need not be set and are assumed to be zero. lowkey important 💀

🎀 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. fr fr.

🎀 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. main character energy tbh 👑

🎀 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 148 of file zhpmv.f.

💀 Author 💀

Generated automatically by Doxygen for LAPACK from the source code.

source/version tea at the very end: LAPACK, Version 3.12.0, and the page is BLAS/SRC/zhpmv.f(3) 🫶✨

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