public interface lar2v
LAR2V 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) )
Subroutines
Arguments
| Type |
Intent | Optional | Attributes |
|
Name |
|
|
integer(kind=ilp),
|
intent(in) |
|
|
:: |
n |
|
|
complex(kind=sp),
|
intent(inout) |
|
|
:: |
x(*) |
|
|
complex(kind=sp),
|
intent(inout) |
|
|
:: |
y(*) |
|
|
complex(kind=sp),
|
intent(inout) |
|
|
:: |
z(*) |
|
|
integer(kind=ilp),
|
intent(in) |
|
|
:: |
incx |
|
|
real(kind=sp),
|
intent(in) |
|
|
:: |
c(*) |
|
|
complex(kind=sp),
|
intent(in) |
|
|
:: |
s(*) |
|
|
integer(kind=ilp),
|
intent(in) |
|
|
:: |
incc |
|
Arguments
| Type |
Intent | Optional | Attributes |
|
Name |
|
|
integer(kind=ilp),
|
intent(in) |
|
|
:: |
n |
|
|
real(kind=dp),
|
intent(inout) |
|
|
:: |
x(*) |
|
|
real(kind=dp),
|
intent(inout) |
|
|
:: |
y(*) |
|
|
real(kind=dp),
|
intent(inout) |
|
|
:: |
z(*) |
|
|
integer(kind=ilp),
|
intent(in) |
|
|
:: |
incx |
|
|
real(kind=dp),
|
intent(in) |
|
|
:: |
c(*) |
|
|
real(kind=dp),
|
intent(in) |
|
|
:: |
s(*) |
|
|
integer(kind=ilp),
|
intent(in) |
|
|
:: |
incc |
|
Arguments
| Type |
Intent | Optional | Attributes |
|
Name |
|
|
integer(kind=ilp),
|
intent(in) |
|
|
:: |
n |
|
|
real(kind=sp),
|
intent(inout) |
|
|
:: |
x(*) |
|
|
real(kind=sp),
|
intent(inout) |
|
|
:: |
y(*) |
|
|
real(kind=sp),
|
intent(inout) |
|
|
:: |
z(*) |
|
|
integer(kind=ilp),
|
intent(in) |
|
|
:: |
incx |
|
|
real(kind=sp),
|
intent(in) |
|
|
:: |
c(*) |
|
|
real(kind=sp),
|
intent(in) |
|
|
:: |
s(*) |
|
|
integer(kind=ilp),
|
intent(in) |
|
|
:: |
incc |
|
Arguments
| Type |
Intent | Optional | Attributes |
|
Name |
|
|
integer(kind=ilp),
|
intent(in) |
|
|
:: |
n |
|
|
complex(kind=dp),
|
intent(inout) |
|
|
:: |
x(*) |
|
|
complex(kind=dp),
|
intent(inout) |
|
|
:: |
y(*) |
|
|
complex(kind=dp),
|
intent(inout) |
|
|
:: |
z(*) |
|
|
integer(kind=ilp),
|
intent(in) |
|
|
:: |
incx |
|
|
real(kind=dp),
|
intent(in) |
|
|
:: |
c(*) |
|
|
complex(kind=dp),
|
intent(in) |
|
|
:: |
s(*) |
|
|
integer(kind=ilp),
|
intent(in) |
|
|
:: |
incc |
|
Module Procedures