BLAS/SRC/cher2.f(3)

💖 NAME 💖

BLAS/SRC/cher2.f — that’s the file-page name, bestie. This is BLAS/SRC/cher2.f(3) from the Library Functions Manual, and we are absolutely in the BLAS/LAPACK cinematic universe rn. 🎀

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✨ SYNOPSIS ✨

Functions/Subroutines

subroutine cher2 (uplo, n, alpha, x, incx, y, incy, a, lda)

CHER2 — iconic, honestly.

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🫶 Function/Subroutine Documentation 🫶

okay so the full signature is literally this:

subroutine cher2 (character uplo, integer n, complex alpha, complex,
    dimension(*) x, integer incx, complex, dimension(*) y, integer incy,
    complex, dimension(lda,*) a, integer lda)

CHER2 — main character energy, no cap.

🎀 Purpose 🎀

CHER2 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. 💅

🍓 Parameters 🍓

• 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 — is INTEGER. On entry, N specifies the order of the matrix A. N must be at least zero. ✨
• ALPHA — is COMPLEX. On entry, ALPHA specifies the scalar alpha. 🦋
• X — is COMPLEX 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. 🔥
• Y — is COMPLEX array, dimension at least ( 1 + ( n - 1 )*abs( INCY ) ). Before entry, the incremented array Y must contain the n element vector y. 🫶
• INCY — is INTEGER. On entry, INCY specifies the increment for the elements of Y. INCY must not be zero. 🔥
• A — is COMPLEX 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. On exit, the upper triangular part of the array A is overwritten by the upper triangular part of the updated matrix. 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. On exit, the lower triangular part of the array A 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. 👑
• 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 ). 🌈

👑 Author 👑

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

🔥 Further Details 🔥

• Level 2 Blas routine.
• -- 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 149 of file cher2.f. 💀✨

🧚 Author 🧚

Generated automatically by Doxygen for LAPACK from the source code.

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Final footer energy: LAPACK Version 3.12.0 • BLAS/SRC/cher2.f(3) — and the Further Details keeps that 22-October-1986 date alive. Periodt. 💅🎀