NAG Library Manual, Mark 27.3
Interfaces:  FL   CL   CPP   AD 
NAG FL Interface Introduction
F06 (Blas) Chapter Contents
F06 (Blas) Chapter Introduction
f06gr:  FL   CL   CPP   AD 

NAG FL Interface
f06grf (zdotui)

NAG Library Manual, Mark 27.3
Interfaces:  FL   CL   CPP   AD 
NAG FL Interface Introduction
F06 (Blas) Chapter Contents
F06 (Blas) Chapter Introduction
f06gr:  FL   CL   CPP   AD 

▸▿ Contents

© The Numerical Algorithms Group Ltd. 2021
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1 Purpose

f06grf computes the scalar product of an unconjugated sparse complex vector with a complex vector.

2 Specification

Fortran Interface
Function f06grf ( nz, x, indx, y)
Complex (Kind=nag_wp) :: f06grf
Integer, Intent (In) :: nz, indx(*)
Complex (Kind=nag_wp), Intent (In) :: x(*), y(*)
C Header Interface
#include <nag.h>
Complex  f06grf_ (const Integer *nz, const Complex x[], const Integer indx[], const Complex y[])
The routine may be called by the names f06grf, nagf_blas_zdotui or its BLAS name zdotui.

3 Description

f06grf returns, via the function name, the value of the scalar product
xTy  
where x is a sparse complex vector stored in compressed form, and y is a complex vector in full storage form.

4 References

Dodson D S, Grimes R G and Lewis J G (1991) Sparse extensions to the Fortran basic linear algebra subprograms ACM Trans. Math. Software 17 253–263

5 Arguments

1: nz – Integer Input
On entry: the number of nonzeros in the sparse vector x.
2: x(*) – Complex (Kind=nag_wp) array Input
Note: the dimension of the array x must be at least max(1,nz) .
On entry: the compressed vector x. x contains xi for i∈J.
3: indx(*) – Integer array Input
Note: the dimension of the array indx must be at least max(1,nz) .
On entry: indx must contain the set of indices J.
4: y(*) – Complex (Kind=nag_wp) array Input
Note: the dimension of the array y must be at least maxk{indx(k)} .
On entry: the vector y. Only elements corresponding to indices in indx are accessed.

6 Error Indicators and Warnings

None.

7 Accuracy

Not applicable.

8 Parallelism and Performance

f06grf is not threaded in any implementation.

9 Further Comments

None.

10 Example

None.
NAG Library Manual, Mark 27.3
Interfaces:  FL   CL   CPP   AD 
NAG FL Interface Introduction
F06 (Blas) Chapter Contents
F06 (Blas) Chapter Introduction
f06gr:  FL   CL   CPP   AD 
© The Numerical Algorithms Group Ltd. 2021