BLAS/SRC/srotm.f(3)

💅 BLAS/SRC/srotm.f(3) — Library Functions Manual

okay bestie, this is the BLAS/SRC/srotm.f(3) page, and it is lowkey iconic because it is all about applying a modified Givens transformation to a 2 BY N matrix. Matrices? Rotations? We love to see it. 🦋

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🌸 NAME 🌸

BLAS/SRC/srotm.f

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✨ SYNOPSIS ✨

🎀 Functions/Subroutines

• subroutine srotm (n, sx, incx, sy, incy, sparam) — SROTM

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🦋 Function/Subroutine Documentation 🦋

👑 subroutine srotm

   subroutine srotm (integer n, real, dimension(*) sx, integer incx, real,
       dimension(*) sy, integer incy, real, dimension(5) sparam)

SROTM

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💖 Purpose 💖

Here is the whole purpose section, verbatim, because the matrix formatting is doing main character energy and we are not touching it:

!>
!>    APPLY THE MODIFIED GIVENS TRANSFORMATION, H, TO THE 2 BY N MATRIX
!>
!>    (SX**T) , WHERE **T INDICATES TRANSPOSE. THE ELEMENTS OF SX ARE IN
!>    (SX**T)
!>
!>    SX(LX+I*INCX), I = 0 TO N-1, WHERE LX = 1 IF INCX .GE. 0, ELSE
!>    LX = (-INCX)*N, AND SIMILARLY FOR SY USING USING LY AND INCY.
!>    WITH SPARAM(1)=SFLAG, H HAS ONE OF THE FOLLOWING FORMS..
!>
!>    SFLAG=-1.E0     SFLAG=0.E0        SFLAG=1.E0     SFLAG=-2.E0
!>
!>      (SH11  SH12)    (1.E0  SH12)    (SH11  1.E0)    (1.E0  0.E0)
!>    H=(          )    (          )    (          )    (          )
!>      (SH21  SH22),   (SH21  1.E0),   (-1.E0 SH22),   (0.E0  1.E0).
!>    SEE  SROTMG FOR A DESCRIPTION OF DATA STORAGE IN SPARAM.
!>
!>

bestie, yes, the source really says USING USING in there. We are preserving the lore. No cap. 💀

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🌈 Parameters 🌈

• N — N is INTEGER; number of elements in input vector(s).
• SX — SX is REAL array, dimension ( 1 + ( N - 1 )*abs( INCX ) ).
• INCX — INCX is INTEGER; storage spacing between elements of SX.
• SY — SY is REAL array, dimension ( 1 + ( N - 1 )*abs( INCY ) ).
• INCY — INCY is INTEGER; storage spacing between elements of SY.
• SPARAM — SPARAM is REAL array, dimension (5).
  • SPARAM(1)=SFLAG
  • SPARAM(2)=SH11
  • SPARAM(3)=SH21
  • SPARAM(4)=SH12
  • SPARAM(5)=SH22

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🧚 Author 🧚

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

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⭐ Definition ⭐

Definition at line 96 of file srotm.f.

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🫶 Author 🫶

Generated automatically by Doxygen for LAPACK from the source code.

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kisses, bestie 💋 this cutie is from LAPACK Version 3.12.0, source BLAS/SRC/srotm.f(3) — and the footer does not give a date, so we are absolutely not inventing one. 🎀✨