la_blas::rotg Interface Reference

! More...

Public Member Functions
pure subroutine	crotg (a, b, c, s)
	la_crotg
pure subroutine	drotg (a, b, c, s)
	la_drotg
	la_qrotg
pure subroutine	srotg (a, b, c, s)
	la_srotg
	la_wrotg
pure subroutine	zrotg (a, b, c, s)
	la_zrotg

Detailed Description

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The computation uses the formulas |x| = sqrt( Re(x)**2 + Im(x)**2 ) sgn(x) = x / |x| if x /= 0 = 1 if x = 0 c = |a| / sqrt(|a|**2 + |b|**2) s = sgn(a) * conjg(b) / sqrt(|a|**2 + |b|**2) When a and b are real and r /= 0, the formulas simplify to r = sgn(a)*sqrt(|a|**2 + |b|**2) c = a / r s = b / r the same as in SROTG when |a| > |b|. When |b| >= |a|, the sign of c and s will be different from those computed by SROTG if the signs of a and b are not the same.

Member Function/Subroutine Documentation

crotg()

pure subroutine la_blas::rotg::crotg	(	complex(sp), intent(inout)	a,
		complex(sp), intent(in)	b,
		real(sp), intent(out)	c,
		complex(sp), intent(out)	s )

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drotg()

pure subroutine la_blas::rotg::drotg	(	real(dp), intent(inout)	a,
		real(dp), intent(inout)	b,
		real(dp), intent(out)	c,
		real(dp), intent(out)	s )

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la_crotg()

la_blas::rotg::la_crotg

la_drotg()

la_blas::rotg::la_drotg

la_qrotg()

la_blas::rotg::la_qrotg

la_srotg()

la_blas::rotg::la_srotg

la_wrotg()

la_blas::rotg::la_wrotg

la_zrotg()

la_blas::rotg::la_zrotg

srotg()

pure subroutine la_blas::rotg::srotg	(	real(sp), intent(inout)	a,
		real(sp), intent(inout)	b,
		real(sp), intent(out)	c,
		real(sp), intent(out)	s )

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zrotg()

pure subroutine la_blas::rotg::zrotg	(	complex(dp), intent(inout)	a,
		complex(dp), intent(in)	b,
		real(dp), intent(out)	c,
		complex(dp), intent(out)	s )

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The documentation for this interface was generated from the following file:

• la_blas.F90