SRC/dlar2v.f(3)

💖 SRC/dlar2v.f(3) 💖

okay bestie, this page is from the Library Functions Manual, and it's literally all about SRC/dlar2v.f. no cap, we're getting into it 🫶.

🌸 NAME 🌸

SRC/dlar2v.f

✨ SYNOPSIS ✨

🧚 Functions/Subroutines

• subroutine dlar2v (n, x, y, z, incx, c, s, incc) — DLAR2V 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 💖

okay so here's the full signature, bestie — exact characters, because we do not play with symbols:

   subroutine dlar2v (integer n, double precision, dimension( * ) x, double
       precision, dimension( * ) y, double precision, dimension( * ) z, integer
       incx, double precision, dimension( * ) c, double precision, dimension( *
       ) s, integer incc)

DLAR2V 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 💡

DLAR2V 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

!>
!> DLAR2V 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 DOUBLE PRECISION array, dimension (1+(N-1)*INCX); the vector x.
• Y — Y is DOUBLE PRECISION array, dimension (1+(N-1)*INCX); the vector y.
• Z — Z is DOUBLE PRECISION 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 DOUBLE PRECISION 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 dlar2v.f.

🦋 Author 🦋

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mwah 💋 — this cutie is LAPACK Version 3.12.0, source file SRC/dlar2v.f, and that's the whole vibe. byeee 👑