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Chapter Contents
Chapter Introduction
NAG Toolbox

# NAG Toolbox Chapter IntroductionX03 — Inner Products

## Scope of the Chapter

This chapter is concerned with the calculation of innerproducts required by other functions within the Library.

## Background to the Problems

Some Library functions require to calculate the innerproduct
 c + ∑ixiyi, $c+∑ixiyi,$
preferably in additional precision, but, if this is unavailable or prohibitively expensive, then in basic precision. These functions call Chapter X03 so that machine dependencies of this type can be isolated to this chapter.

## Recommendations on Choice and Use of Available Functions

Although these functions are primarily intended for use by other Library functions they may be accessed directly by you:
 nag_dot_real_prec (x03aa) Calculates the innerproduct for real values c$c$, xi${x}_{i}$ and yi${y}_{i}$, nag_dot_complex_prec (x03ab) Calculates the innerproduct for complex values c$c$, xi${x}_{i}$ and yi${y}_{i}$,