SRC/zlartv.f(3)

💖 NAME 💖

SRC/zlartv.f — okay bestie, this page is from the Library Functions Manual, and it's fully about ZLARTV applying plane rotations to a pair of vectors. The vibes are mathematical, the vectors are complex, and the cosines/sines are doing their thing. 🦋✨

✨ SYNOPSIS ✨

🎀 Functions/Subroutines 🎀

• subroutine zlartv (n, x, incx, y, incy, c, s, incc) — ZLARTV applies a vector of plane rotations with real cosines and complex sines to the elements of a pair of vectors. 💅

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🦋 Function/Subroutine Documentation 🦋

💅 subroutine zlartv 💅

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

ZLARTV applies a vector of plane rotations with real cosines and complex sines to the elements of a pair of vectors. No cap, that's literally the function's whole main-character moment.

💖 Purpose 💖

Here's the actual purpose, bestie: ZLARTV applies a vector of complex plane rotations with real cosines to elements of the complex vectors x and y. For i = 1,2,...,n, the glow-up is:

!> ZLARTV applies a vector of complex plane rotations with real cosines
!> to elements of the complex vectors x and y. For i = 1,2,...,n
!>
!>    ( x(i) ) := (        c(i)   s(i) ) ( x(i) )
!>    ( y(i) )    ( -conjg(s(i))  c(i) ) ( y(i) )

That's the whole transformation vibe: c(i), s(i), and conjg(s(i)) are all up in the matrix, rotating those vectors like it's their job. 🌀💫

🎀 Parameters 🎀

• N — N is INTEGER; it's the number of plane rotations to be applied. 💫
• X — X is COMPLEX*16 array, dimension (1+(N-1)*INCX); this is the vector x.
• INCX — INCX is INTEGER; the increment between elements of X. INCX > 0. 🦋
• Y — Y is COMPLEX*16 array, dimension (1+(N-1)*INCY); this is the vector y.
• INCY — INCY is INTEGER; the increment between elements of Y. INCY > 0. 🌸
• C — C is DOUBLE PRECISION array, dimension (1+(N-1)*INCC); these are the cosines of the plane rotations.
• S — S is COMPLEX*16 array, dimension (1+(N-1)*INCC); these are 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 106 of file zlartv.f. — yes, that's the exact spot, bestie. 📍

⭐ Author ⭐

Generated automatically by Doxygen for LAPACK from the source code. The robots really said "we'll handle the paperwork" and honestly? Slay. 🤖💅

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okay that's the whole page, and the footer energy is LAPACK, Version 3.12.0, SRC/zlartv.f(3). Go rotate those vectors and live your best complex life 🎀✨🫶