F06EAF (DDOT) (PDF version)
F06 Chapter Contents
F06 Chapter Introduction
NAG Library Manual
NAG Library Routine Document
F06EAF (DDOT)
Note:
before using this routine, please read the Users' Note for your implementation to check the interpretation of
bold italicised
terms and other implementation-dependent details.
+
−
Contents
1
Purpose
2
Specification
3
Description
4
References
5
Parameters
6
Error Indicators and Warnings
7
Accuracy
8
Further Comments
9
Example
1 Purpose
F06EAF (DDOT) computes the scalar product of two real vectors.
2 Specification
FUNCTION F06EAF (
N
,
X
,
INCX
,
Y
,
INCY
)
REAL (KIND=nag_wp) F06EAF
INTEGER
N, INCX, INCY
REAL (KIND=nag_wp)
X(*), Y(*)
The routine may be called by its BLAS name
ddot
.
3 Description
F06EAF (DDOT) returns, via the function name, the value of the scalar product
x
T
y
where
x
and
y
are
n
-element real vectors scattered with stride
INCX
and
INCY
respectively.
4 References
Lawson C L, Hanson R J, Kincaid D R and Krogh F T (1979) Basic linear algebra supbrograms for Fortran usage
ACM Trans. Math. Software
5
308–325
5 Parameters
1: N – INTEGER
Input
On entry
:
n
, the number of elements in
x
and
y
.
2: X(
*
) – REAL (KIND=nag_wp) array
Input
Note:
the dimension of the array
X
must be at least
max
1
,
1
+
N
-
1
×
INCX
.
On entry
: the
n
-element vector
x
.
If
INCX
>
0
,
x
i
must be stored in
X
1
+
i
-
1
×
INCX
, for
i
=
1
,
2
,
…
,
N
.
If
INCX
<
0
,
x
i
must be stored in
X
1
-
N
-
i
×
INCX
, for
i
=
1
,
2
,
…
,
N
.
Intermediate elements of
X
are not referenced.
3: INCX – INTEGER
Input
On entry
: the increment in the subscripts of
X
between successive elements of
x
.
4: Y(
*
) – REAL (KIND=nag_wp) array
Input
Note:
the dimension of the array
Y
must be at least
max
1
,
1
+
N
-
1
×
INCY
.
On entry
: the
n
-element vector
y
.
If
INCY
>
0
,
y
i
must be stored in
Y
1
+
i
-
1
×
INCY
, for
i
=
1
,
2
,
…
,
N
.
If
INCY
<
0
,
y
i
must be stored in
Y
1
-
N
-
i
×
INCY
, for
i
=
1
,
2
,
…
,
N
.
Intermediate elements of
Y
are not referenced.
5: INCY – INTEGER
Input
On entry
: the increment in the subscripts of
Y
between successive elements of
y
.
6 Error Indicators and Warnings
None.
7 Accuracy
Not applicable.
8 Further Comments
None.
9 Example
None.
F06EAF (DDOT) (PDF version)
F06 Chapter Contents
F06 Chapter Introduction
NAG Library Manual
© The Numerical Algorithms Group Ltd, Oxford, UK. 2012