SRC/slar2v.f(3)

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version 3.12.1 · 7 versions
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✨ NAME ✨

SRC/slar2v.f — yep, that's the file, bestie, and it's chilling in the Library Functions Manual. This page is all about the slar2v subroutine. 💅

🌸 SYNOPSIS 🌸

🫶 Functions/Subroutines 🫶

  • subroutine slar2v (n, x, y, z, incx, c, s, incc) — SLAR2V applies a vector of plane rotations with real cosines and real sines from both sides to a sequence of 2-by-2 symmetric/Hermitian matrices. ✨

🔥 Function/Subroutine Documentation 🔥

🧚 subroutine slar2v (integer n, real, dimension( * ) x, real, dimension( * ) y, real, dimension( * ) z, integer incx, real, dimension( * ) c, real, dimension( * ) s, integer incc)

SLAR2V applies a vector of plane rotations with real cosines and real sines from both sides to a sequence of 2-by-2 symmetric/Hermitian matrices. 🫶

🌈 Purpose 🌈

Okay so the actual purpose, no cap: it applies a vector of real plane rotations from both sides to a sequence of 2-by-2 real symmetric matrices, defined by the elements of the vectors x, y, and z. For i = 1,2,...,n:

   ( x(i)  z(i) ) := (  c(i)  s(i) ) ( x(i)  z(i) ) ( c(i) -s(i) )
   ( z(i)  y(i) )    ( -s(i)  c(i) ) ( z(i)  y(i) ) ( s(i)  c(i) )

🎀 Parameters 🎀

  • N — N is INTEGER. The number of plane rotations to be applied. 🔢
  • X — X is REAL array, dimension (1+(N-1)*INCX). The vector x. 🍓
  • Y — Y is REAL array, dimension (1+(N-1)*INCX). The vector y. 🌸
  • Z — Z is REAL 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 REAL array, dimension (1+(N-1)*INCC). The cosines of the plane rotations. 🎀
  • S — S is REAL 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 at line 109 of file slar2v.f. 📌

👑 Author 👑

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