SRC/zlar2v.f(3)

📦
version 3.12.1 · 7 versions
, in arch rolling

This is the page for SRC/zlar2v.f(3) from the Library Functions Manual — aka the ZLAR2V glow-up manual, bestie. 💖

🌸 NAME 🌸

SRC/zlar2v.f — home of zlar2v, the routine that applies a vector of plane rotations with real cosines and complex sines from both sides to a sequence of 2-by-2 symmetric/Hermitian matrices. ✨

✨ SYNOPSIS ✨

🫶 Functions/Subroutines 🫶

  • subroutine zlar2v (n, x, y, z, incx, c, s, incc) — ZLAR2V applies a vector of plane rotations with real cosines and complex sines from both sides to a sequence of 2-by-2 symmetric/Hermitian matrices. 💅

💅 Function/Subroutine Documentation 💅

🧚 subroutine zlar2v

subroutine zlar2v (integer n, complex*16, dimension( * ) x, complex*16, dimension( * ) y, complex*16, dimension( * ) z, integer incx, double precision, dimension( * ) c, complex*16, dimension( * ) s, integer incc)

ZLAR2V applies a vector of plane rotations with real cosines and complex sines from both sides to a sequence of 2-by-2 symmetric/Hermitian matrices. No cap, that’s the whole gig. 🌀

🎀 Purpose 🎀

Okay so ZLAR2V applies a vector of complex plane rotations with real cosines from both sides to a sequence of 2-by-2 complex Hermitian matrices, and those matrices are defined by the elements of the vectors x, y and z. For i = 1,2,...,n, the transformation is exactly this:

(       x(i)  z(i) ) :=
( conjg(z(i)) y(i) )

  (  c(i) conjg(s(i)) ) (       x(i)  z(i) ) ( c(i) -conjg(s(i)) )
  ( -s(i)       c(i)  ) ( conjg(z(i)) y(i) ) ( s(i)        c(i)  )

🍓 Parameters 🍓

  • N — N is INTEGER. The number of plane rotations to be applied. 🌀
  • X — X is COMPLEX*16 array, dimension (1+(N-1)*INCX). The vector x; the elements of x are assumed to be real. Bestie, real elements only. 💖
  • Y — Y is COMPLEX*16 array, dimension (1+(N-1)*INCX). The vector y; the elements of y are assumed to be real. Same deal. ✨
  • Z — Z is COMPLEX*16 array, dimension (1+(N-1)*INCX). The vector z. 🦋
  • INCX — INCX is INTEGER. The increment between elements of X, Y and Z. INCX > 0. 🚨
  • C — C is DOUBLE PRECISION array, dimension (1+(N-1)*INCC). The cosines of the plane rotations. 🌸
  • S — S is COMPLEX*16 array, dimension (1+(N-1)*INCC). The sines of the plane rotations. 🎀
  • INCC — INCC is INTEGER. The increment between elements of C and S. INCC > 0. 🔥

👑 Author 👑

  • Univ. of Tennessee
  • Univ. of California Berkeley
  • Univ. of Colorado Denver
  • NAG Ltd.
  • Definition: Definition at line 110 of file zlar2v.f.

👑 Author 👑

Author: Generated automatically by Doxygen for LAPACK from the source code. 🤖

Okay that’s the page, bestie. Signing off from SRC/zlar2v.f(3), LAPACK, Version 3.12.0 — and yes, the footer gives the source/version but no date, so we’re not inventing one. Mwah. 💜

📦 where this page comes from