lar2v(3)

📦
version 3.12.1 · 9 versions
, in arch rolling

💖 NAME 💖

okay so this is lar2v(3), bestie — from the Library Functions Manual — and it is literally here to do this: lar2v - lar2v: apply vector of plane rotations to 2x2 matrices. that’s the whole vibe. 💅✨

✨ SYNOPSIS ✨

🌸 Functions 🌸

  • subroutine clar2v (n, x, y, z, incx, c, s, incc) — CLAR2V takes a vector of plane rotations with real cosines and complex sines, and applies them from both sides to a sequence of 2-by-2 symmetric/Hermitian matrices. iconic behavior, no cap. 💖
  • subroutine dlar2v (n, x, y, z, incx, c, s, incc) — DLAR2V takes a vector of plane rotations with real cosines and real sines, and applies them from both sides to a sequence of 2-by-2 symmetric/Hermitian matrices. slay. 🦋
  • subroutine slar2v (n, x, y, z, incx, c, s, incc) — SLAR2V takes a vector of plane rotations with real cosines and real sines, and applies them from both sides to a sequence of 2-by-2 symmetric/Hermitian matrices. periodt. 🌈
  • subroutine zlar2v (n, x, y, z, incx, c, s, incc) — ZLAR2V takes a vector of plane rotations with real cosines and complex sines, and applies them from both sides to a sequence of 2-by-2 symmetric/Hermitian matrices. main character energy fr fr. 👑

🦋 Detailed Description 🦋

okay so this is the detailed-description zone, and then the function documentation comes right after it. no extra lore here, bestie — we go straight into the functions. 💅

🌸 Function Documentation 🌸

💅 clar2v

subroutine clar2v (integer n, complex, dimension( * ) x, complex, dimension(
       * ) y, complex, dimension( * ) z, integer incx, real, dimension( * ) c,
       complex, dimension( * ) s, integer incc)

CLAR2V 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. yes bestie, it’s giving “rotate from both sides” and it ate. 💖

Purpose ✨

!>
!> CLAR2V applies a vector of complex plane rotations with real cosines
!> from both sides to a sequence of 2-by-2 complex Hermitian matrices,
!> defined by the elements of the vectors x, y and z. For i = 1,2,...,n
!>
!>    (       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 array, dimension (1+(N-1)*INCX). the vector x; the elements of x are assumed to be real.
  • Y — Y is COMPLEX array, dimension (1+(N-1)*INCX). the vector y; the elements of y are assumed to be real.
  • Z — Z is COMPLEX 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 COMPLEX 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 110 of file clar2v.f.

🦋 dlar2v

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. double precision, double slay, honestly. 💜

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
!>
!>    ( 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.

🌈 slar2v

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. real ones only, bestie — and it still understood the assignment. 🌸

Purpose ✨

!>
!> SLAR2V 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.

👑 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. complex sines, real cosines, full icon behavior. 💅✨

Purpose ✨

!>
!> ZLAR2V applies a vector of complex plane rotations with real cosines
!> from both sides to a sequence of 2-by-2 complex Hermitian matrices,
!> defined by the elements of the vectors x, y and z. For i = 1,2,...,n
!>
!>    (       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.
  • Y — Y is COMPLEX*16 array, dimension (1+(N-1)*INCX). the vector y; the elements of y are assumed to be real.
  • 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 at line 110 of file zlar2v.f.

👑 Author 👑

Generated automatically by Doxygen for LAPACK from the source code.

💖 that’s the whole lar2v(3) page, bestie — from LAPACK, Version 3.12.0. stay slay, stay rotated, and don’t forget the commas in your dimensions. ✨💅🎀

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