ZHPMV(3)

💖 ZHPMV(3) · LAPACK Library Functions Manual 💖

okay so bestie, this is the ZHPMV(3) page from the LAPACK Library Functions Manual. It’s giving packed Hermitian matrix-vector main character energy, and the source file is /home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/BLAS/SRC/zhpmv.f. 🦋✨

🌸 NAME 🌸

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/BLAS/SRC/zhpmv.f

That’s literally the file this page is about. 💅

✨ SYNOPSIS ✨

🧚 Functions/Subroutines 🧚

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

💅 Function/Subroutine Documentation 💅

Here’s the full signature, exactly as it appears in the source, bestie:

       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 — is CHARACTER*1. On entry, it tells whether the upper or lower triangular part of matrix A is supplied in the packed array AP, like this:
  • 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 — is INTEGER. On entry, N specifies the order of the matrix A. N must be at least zero.
• ALPHA — is COMPLEX*16. On entry, ALPHA specifies the scalar alpha.
• 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.
• 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 — is INTEGER. On entry, INCX specifies the increment for the elements of X. INCX must not be zero.
• 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 — 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 — is INTEGER. On entry, INCY specifies the increment for the elements of Y. INCY must not be zero.

👑 Author 👑

The author credits are:

• 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.

LAPACK Version 3.12.0 · /home/abui...SRC/zhpmv.f(3) — that’s the footer, bestie; go forth and slay your packed Hermitian matrix-vector operation 💅✨