f16 Chapter Contents
f16 Chapter Introduction
NAG C Library Manual

# NAG Library Function Documentnag_zsum (f16glc)

## 1  Purpose

nag_zsum (f16glc) sums the elements of a complex vector.

## 2  Specification

 #include #include
 Complex nag_zsum (Integer n, const Complex x[], Integer incx, NagError *fail)

## 3  Description

nag_zsum (f16glc) returns the sum
 $x1 + x2 + ⋯ + xn$
of the elements of an $n$-element complex vector $x$.
If ${\mathbf{n}}=0$ on entry, nag_zsum (f16glc) returns the value $0+0i$.

## 4  References

Basic Linear Algebra Subprograms Technical (BLAST) Forum (2001) Basic Linear Algebra Subprograms Technical (BLAST) Forum Standard University of Tennessee, Knoxville, Tennessee http://www.netlib.org/blas/blast-forum/blas-report.pdf

## 5  Arguments

1:     nIntegerInput
On entry: $n$, the number of elements in $x$.
Constraint: ${\mathbf{n}}\ge 0$.
2:     x[$\mathit{dim}$]const ComplexInput
Note: the dimension, dim, of the array x must be at least $\mathrm{max}\phantom{\rule{0.125em}{0ex}}\left(1,1+\left({\mathbf{n}}-1\right)×\left|{\mathbf{incx}}\right|\right)$.
On entry: the vector $x$. Element ${x}_{\mathit{i}}$ is stored in ${\mathbf{x}}\left[\left(\mathit{i}-1\right)×\left|{\mathbf{incx}}\right|\right]$, for $\mathit{i}=1,2,\dots ,n$.
3:     incxIntegerInput
On entry: the increment in the subscripts of x between successive elements of $x$.
Constraint: ${\mathbf{incx}}\ne 0$.
4:     failNagError *Input/Output
The NAG error argument (see Section 3.6 in the Essential Introduction).

## 6  Error Indicators and Warnings

On entry, argument $〈\mathit{\text{value}}〉$ had an illegal value.
NE_INT
On entry, ${\mathbf{incx}}=〈\mathit{\text{value}}〉$.
Constraint: ${\mathbf{incx}}\ne 0$.
On entry, ${\mathbf{n}}=〈\mathit{\text{value}}〉$.
Constraint: ${\mathbf{n}}\ge 0$.

Not applicable.

None.

## 9  Example

This example computes the sum of the elements of
 $x = 1.1+10.2i,11.5-2.7i,9.2T .$

### 9.1  Program Text

Program Text (f16glce.c)

### 9.2  Program Data

Program Data (f16glce.d)

### 9.3  Program Results

Program Results (f16glce.r)