public interface laesy
LAESY computes the eigendecomposition of a 2-by-2 symmetric matrix
( ( A, B );( B, C ) )
provided the norm of the matrix of eigenvectors is larger than
some threshold value.
RT1 is the eigenvalue of larger absolute value, and RT2 of
smaller absolute value. If the eigenvectors are computed, then
on return ( CS1, SN1 ) is the unit eigenvector for RT1, hence
[ CS1 SN1 ] . [ A B ] . [ CS1 -SN1 ] = [ RT1 0 ]
[ -SN1 CS1 ] [ B C ] [ SN1 CS1 ] [ 0 RT2 ]
Subroutines
Arguments
| Type |
Intent | Optional | Attributes |
|
Name |
|
|
complex(kind=sp),
|
intent(in) |
|
|
:: |
a |
|
|
complex(kind=sp),
|
intent(in) |
|
|
:: |
b |
|
|
complex(kind=sp),
|
intent(in) |
|
|
:: |
c |
|
|
complex(kind=sp),
|
intent(out) |
|
|
:: |
rt1 |
|
|
complex(kind=sp),
|
intent(out) |
|
|
:: |
rt2 |
|
|
complex(kind=sp),
|
intent(out) |
|
|
:: |
evscal |
|
|
complex(kind=sp),
|
intent(out) |
|
|
:: |
cs1 |
|
|
complex(kind=sp),
|
intent(out) |
|
|
:: |
sn1 |
|
Arguments
| Type |
Intent | Optional | Attributes |
|
Name |
|
|
complex(kind=dp),
|
intent(in) |
|
|
:: |
a |
|
|
complex(kind=dp),
|
intent(in) |
|
|
:: |
b |
|
|
complex(kind=dp),
|
intent(in) |
|
|
:: |
c |
|
|
complex(kind=dp),
|
intent(out) |
|
|
:: |
rt1 |
|
|
complex(kind=dp),
|
intent(out) |
|
|
:: |
rt2 |
|
|
complex(kind=dp),
|
intent(out) |
|
|
:: |
evscal |
|
|
complex(kind=dp),
|
intent(out) |
|
|
:: |
cs1 |
|
|
complex(kind=dp),
|
intent(out) |
|
|
:: |
sn1 |
|
Module Procedures