BLAS/SRC/zhpmv.f(3)

💖 BLAS/SRC/zhpmv.f — ZHPMV 💖

okay bestie, buckle up, this is a Doxygen-generated page for BLAS/SRC/zhpmv.f, living in the LAPACK manual. it's giving "level 2 BLAS but make it hermitian" and honestly? iconic. 🦋

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✨ SYNOPSIS ✨

🎀 Functions/Subroutines

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

🌸 Function/Subroutine Documentation 🌸

⭐ 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. literally the whole vibe right there 💜

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💅 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. (zero is fine bestie, we don't judge 🫶)

• 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. so like… don't stress about them, they're not real (literally) 🙈

• 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. (free real estate, bestie ✨)

• 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. it ate and left no crumbs 💀

• INCY

INCY is INTEGER

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

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🌈 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.

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🌟 Author 🌟

Generated automatically by Doxygen for LAPACK from the source code. (the robots did this one, not me 😭)

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okay that's the whole page bestie!! every flag, every dimension, every author, all present and accounted for, no cap. 🫶

Version 3.12.0 · Tue Nov 28 2023 12:08:41 · BLAS/SRC/zhpmv.f(3) — mwah, slay, periodt 💅✨🎀