/home/abui...RC/zsymv.f(3)

💫 NAME 💫

okay so bestie, this whole page is literally about one file, and here's its full government name:

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

that's it, that's the name. she's from the Library Functions Manual and she's iconic 💅

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🌸 SYNOPSIS 🌸

✨ Functions/Subroutines ✨

• subroutine ZSYMV (uplo, n, alpha, a, lda, x, incx, beta, y, incy) — our main character! ZSYMV computes a matrix-vector product for a complex symmetric matrix. no cap 🔥

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🦋 Function/Subroutine Documentation 🦋

🎀 the full glow-up signature 🎀

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

she does one thing and she does it flawlessly: ZSYMV computes a matrix-vector product for a complex symmetric matrix. periodt. 👑

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💖 Purpose 💖

okay so here's the whole vibe — ZSYMV 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 symmetric matrix. that's the entire plot, and it ate. ✨

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🧚 Parameters 🧚

• UPLO — is CHARACTER*1. on entry, UPLO specifies whether the upper or lower triangular part of the array A is to be referenced, and the options are giving:
  • 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.

unchanged on exit. 🫶

• N — is INTEGER. on entry, N specifies the order of the matrix A. N must be at least zero. unchanged on exit. ⭐
• ALPHA — is COMPLEX*16. on entry, ALPHA specifies the scalar alpha. unchanged on exit. 💜
• A — is COMPLEX*16 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 symmetric matrix, and the strictly lower triangular part of A is not referenced. 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 symmetric matrix, and the strictly upper triangular part of A is not referenced. unchanged on exit. 🦋
• 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 ). unchanged on exit. 🎀
• 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. unchanged on exit. 🌈
• INCX — is INTEGER. on entry, INCX specifies the increment for the elements of X. INCX must not be zero. unchanged on exit. 🍓
• 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. unchanged on exit. 💅
• 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. unchanged on exit. 🌟

real talk bestie: INCX and INCY must not be zero — that's a hard no, not a suggestion 🙈

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👑 Author 👑

the absolute legends behind this:

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

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⭐ Definition at line 156 of file zsymv.f. ⭐

(ngl, that's the exact line, don't come for me 😭)

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🌷 Author 🌷

generated automatically by Doxygen for LAPACK from the source code. she was born, not written by hand 💀✨

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okay that's the whole page, bestie — go forth and multiply your matrices 🫶

LAPACK Version 3.12.0, and the source file is /home/abui...RC/zsymv.f(3). mwah, bye! 💋🎀