public interface latrz
LATRZ factors the M-by-(M+L) complex upper trapezoidal matrix
[ A1 A2 ] = [ A(1:M,1:M) A(1:M,N-L+1:N) ] as ( R 0 ) * Z by means
of unitary transformations, where Z is an (M+L)-by-(M+L) unitary
matrix and, R and A1 are M-by-M upper triangular matrices.
Subroutines
Arguments
| Type |
Intent | Optional | Attributes |
|
Name |
|
|
integer(kind=ilp),
|
intent(in) |
|
|
:: |
m |
|
|
integer(kind=ilp),
|
intent(in) |
|
|
:: |
n |
|
|
integer(kind=ilp),
|
intent(in) |
|
|
:: |
l |
|
|
complex(kind=sp),
|
intent(inout) |
|
|
:: |
a(lda,*) |
|
|
integer(kind=ilp),
|
intent(in) |
|
|
:: |
lda |
|
|
complex(kind=sp),
|
intent(out) |
|
|
:: |
tau(*) |
|
|
complex(kind=sp),
|
intent(out) |
|
|
:: |
work(*) |
|
Arguments
| Type |
Intent | Optional | Attributes |
|
Name |
|
|
integer(kind=ilp),
|
intent(in) |
|
|
:: |
m |
|
|
integer(kind=ilp),
|
intent(in) |
|
|
:: |
n |
|
|
integer(kind=ilp),
|
intent(in) |
|
|
:: |
l |
|
|
real(kind=dp),
|
intent(inout) |
|
|
:: |
a(lda,*) |
|
|
integer(kind=ilp),
|
intent(in) |
|
|
:: |
lda |
|
|
real(kind=dp),
|
intent(out) |
|
|
:: |
tau(*) |
|
|
real(kind=dp),
|
intent(out) |
|
|
:: |
work(*) |
|
Arguments
| Type |
Intent | Optional | Attributes |
|
Name |
|
|
integer(kind=ilp),
|
intent(in) |
|
|
:: |
m |
|
|
integer(kind=ilp),
|
intent(in) |
|
|
:: |
n |
|
|
integer(kind=ilp),
|
intent(in) |
|
|
:: |
l |
|
|
real(kind=sp),
|
intent(inout) |
|
|
:: |
a(lda,*) |
|
|
integer(kind=ilp),
|
intent(in) |
|
|
:: |
lda |
|
|
real(kind=sp),
|
intent(out) |
|
|
:: |
tau(*) |
|
|
real(kind=sp),
|
intent(out) |
|
|
:: |
work(*) |
|
Arguments
| Type |
Intent | Optional | Attributes |
|
Name |
|
|
integer(kind=ilp),
|
intent(in) |
|
|
:: |
m |
|
|
integer(kind=ilp),
|
intent(in) |
|
|
:: |
n |
|
|
integer(kind=ilp),
|
intent(in) |
|
|
:: |
l |
|
|
complex(kind=dp),
|
intent(inout) |
|
|
:: |
a(lda,*) |
|
|
integer(kind=ilp),
|
intent(in) |
|
|
:: |
lda |
|
|
complex(kind=dp),
|
intent(out) |
|
|
:: |
tau(*) |
|
|
complex(kind=dp),
|
intent(out) |
|
|
:: |
work(*) |
|
Module Procedures