BLAS/SRC/zhpr2.f(3)

📦
version 3.12.0 · 7 versions
, in centos-stream 10, fedora 43, fedora 44

💖 BLAS/SRC/zhpr2.f 💖

okay bestie, gather round, because this is the LAPACK BLAS page for zhpr2 and she is serving linear algebra ✨

✨ NAME ✨

BLAS/SRC/zhpr2.f — no cap, that's the whole name, that's the file, that's the vibe 🦋

🌸 SYNOPSIS 🌸

Functions/Subroutines

subroutine zhpr2 (uplo, n, alpha, x, incx, y, incy, ap)
    ZHPR2

🎀 Function/Subroutine Documentation 🎀

subroutine zhpr2 (character uplo, integer n, complex*16 alpha, complex*16,
    dimension(*) x, integer incx, complex*16, dimension(*) y, integer incy,
    complex*16, dimension(*) ap)

ZHPR2 💅

Purpose:

ZHPR2 performs the hermitian rank 2 operation

A := alpha*x*y**H + conjg( alpha )*y*x**H + A,

where alpha is a scalar, x and y are n element vectors and A is an n by n hermitian matrix, supplied in packed form. she's doing the MOST and honestly? iconic 👑

Parameters

  • UPLO — CHARACTER*1, bestie. 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 — INTEGER. On entry, N specifies the order of the matrix A. N must be at least zero. (zero is allowed, she's not judgy 💜)
  • ALPHA — COMPLEX*16. On entry, ALPHA specifies the scalar alpha. the moment, the icon, the scalar 🌟
  • X — 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 — INTEGER. On entry, INCX specifies the increment for the elements of X. INCX must not be zero. 🚫
  • Y — COMPLEX*16 array, dimension at least ( 1 + ( n - 1 )*abs( INCY ) ). Before entry, the incremented array Y must contain the n element vector y.
  • INCY — INTEGER. On entry, INCY specifies the increment for the elements of Y. INCY must not be zero. 🚫
  • AP — 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. On exit, the array AP is overwritten by the upper triangular part of the updated matrix.
    • 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. On exit, the array AP is overwritten by the lower triangular part of the updated matrix.
    • > Note that the imaginary parts of the diagonal elements need not be set, they are assumed to be zero, and on exit they are set to zero. 👀 like, don't stress about them, she handles it, but also she WILL zero them out, so don't come for her later.

👑 Author 👑

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

the academic royalty of it all 🫶

🌈 Further Details: 🌈

Level 2 Blas routine. (yes, capital B, we respect the ancestors 💀)

-- 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.

1986?? she's been THAT girl since before most of us were born, fr fr ⭐

🦋 Definition at line 144 of file zhpr2.f. 🦋

💜 Author 💜

Generated automatically by Doxygen for LAPACK from the source code. (not me writing this by hand, Doxygen did it, I just gave it ✨personality✨)

okay that's the whole page, you ate that, go call zhpr2 and slay 🎀💅

Version 3.12.0 · Tue Nov 28 2023 12:08:41 · from BLAS/SRC/zhpr2.f(3) — mwah, bye bestie! 💖🦋🌸

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