ZHER2(3)

💅 NAME 💅

okay so bestie, welcome to the Library Functions Manual page for /home/abui...SRC/zher2.f(3) — this is the ZHER2 entry, and she is iconic. The actual source file named in the NAME section is /home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/BLAS/SRC/zher2.f.

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✨ SYNOPSIS ✨

Under Functions/Subroutines, you get:

subroutine ZHER2 (uplo, n, alpha, x, incx, y, incy, a, lda)
    ZHER2

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🫶 FUNCTION/SUBROUTINE DOCUMENTATION 🫶

Here’s the full signature, bestie:

subroutine ZHER2 (character uplo, integer n, complex*16 alpha, complex*16,
    dimension(*) x, integer incx, complex*16, dimension(*) y, integer incy,
    complex*16, dimension(lda,*) a, integer lda)

ZHER2

💖 Purpose 💖

ZHER2 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. Periodt. 💅

🌸 Parameters 🌸

💖 UPLO

UPLO is CHARACTER*1. On entry, UPLO tells us whether the upper or lower triangular part of the array A is the one being referenced, like this:

• UPLO = 'U' or 'u' — only the upper triangular part of A is referenced.
• UPLO = 'L' or 'l' — only the lower triangular part of A is referenced.

🦋 N

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

🎀 ALPHA

ALPHA is COMPLEX*16. On entry, ALPHA specifies the scalar alpha.

⭐ 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.

🌈 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.

🍓 INCY

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

👑 A

A is COMPLEX*16 array, dimension ( LDA, N ). Here’s the tea:

• 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

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 zher2.f.

🤖 AUTHOR 🤖

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k bye bestie 💜 — this slay page is LAPACK Version 3.12.0, footer path /home/abui...SRC/zher2.f(3), and the footer shows no date, so I’m not making one up 🫶✨.