CLARFX(3)

πŸ“¦ version 3.12.0, in opensuse-leap 16.0

πŸ’– CLARFX(3) πŸ’–

Library Functions Manual? Yup bestie, that’s the manual name right there. This page is all about CLARFX: it applies an elementary reflector to a general rectangular matrix, with loop unrolling when the reflector has order ≀ 10. ✨ Lowkey iconic.

🌸 NAME 🌸

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/clarfx.f

✨ SYNOPSIS ✨

Functions/Subroutines

       subroutine CLARFX (side, m, n, v, tau, c, ldc, work)
           CLARFX applies an elementary reflector to a general rectangular
           matrix, with loop unrolling when the reflector has order ≀ 10.

πŸ¦‹ Function/Subroutine Documentation πŸ¦‹

   subroutine CLARFX (character side, integer m, integer n, complex, dimension(
       * ) v, complex tau, complex, dimension( ldc, * ) c, integer ldc,
       complex, dimension( * ) work)

CLARFX applies an elementary reflector to a general rectangular matrix, with loop unrolling when the reflector has order ≀ 10.

πŸ’« Purpose πŸ’«

CLARFX applies a complex elementary reflector H to a complex m by n matrix C, from either the left or the right. H is represented in the form

H = I - tau * v * v**H

where tau is a complex scalar and v is a complex vector.

If tau = 0, then H is taken to be the unit matrix.

This version uses inline code if H has order < 11.

🌸 Parameters 🌸

  • SIDE β€” SIDE is CHARACTER*1. = 'L': form H * C; = 'R': form C * H.
  • M β€” M is INTEGER. The number of rows of the matrix C.
  • N β€” N is INTEGER. The number of columns of the matrix C.
  • V β€” V is COMPLEX array, dimension (M) if SIDE = 'L' or (N) if SIDE = 'R'. The vector v in the representation of H.
  • TAU β€” TAU is COMPLEX. The value tau in the representation of H.
  • C β€” C is COMPLEX array, dimension (LDC,N). On entry, the m by n matrix C. On exit, C is overwritten by the matrix H * C if SIDE = 'L', or C * H if SIDE = 'R'.
  • LDC β€” LDC is INTEGER. The leading dimension of the array C. LDC >= max(1,M).
  • WORK β€” WORK is COMPLEX array, dimension (N) if SIDE = 'L' or (M) if SIDE = 'R'. WORK is not referenced if H has order < 11.

πŸ‘‘ Author πŸ‘‘

  • Univ. of Tennessee
  • Univ. of California Berkeley
  • Univ. of Colorado Denver
  • NAG Ltd.

Definition at line 118 of file clarfx.f.

πŸ‘‘ Author πŸ‘‘

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