f06txf performs the transformation
where
is an
complex matrix and
is a complex unitary matrix, defined as a sequence of complex plane rotations,
, with real cosines, applied in planes
to
.
The
plane rotation part of
is assumed to have the form
with
real.
None.
-
1:
– Character(1)
Input
-
On entry: specifies whether
is operated on from the left or the right.
- is pre-multiplied from the left.
- is post-multiplied from the right.
Constraint:
or .
-
2:
– Character(1)
Input
-
On entry: specifies the plane rotated by
.
- (variable pivot)
- rotates the plane.
- (top pivot)
- rotates the plane.
- (bottom pivot)
- rotates the plane.
Constraint:
, or .
-
3:
– Character(1)
Input
-
On entry: specifies the sequence direction.
- (forward sequence)
- .
- (backward sequence)
- .
Constraint:
or .
-
4:
– Integer
Input
-
On entry: , the number of rows of the matrix .
Constraint:
.
-
5:
– Integer
Input
-
On entry: , the number of columns of the matrix .
Constraint:
.
-
6:
– Integer
Input
-
7:
– Integer
Input
-
On entry: the values
and
.
If or , or and , or and , an immediate return is effected.
-
8:
– Real (Kind=nag_wp) array
Input
-
Note: the dimension of the array
c
must be at least
.
On entry: must hold , the cosine of the rotation , for .
-
9:
– Complex (Kind=nag_wp) array
Input
-
Note: the dimension of the array
s
must be at least
.
On entry: must hold , the sine of the rotation , for .
-
10:
– Complex (Kind=nag_wp) array
Input/Output
-
Note: the second dimension of the array
a
must be at least
.
On entry: the matrix .
On exit: the transformed matrix .
-
11:
– Integer
Input
-
On entry: the first dimension of the array
a as declared in the (sub)program from which
f06txf is called.
Constraint:
.
None.
Not applicable.
Background information to multithreading can be found in the
Multithreading documentation.
None.
None.