LNCS 2764 On the Hardness of Approximate Multivariate Integration 1st Edition by Ioannis Koutis ISBN 3540380450 9783540380450

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Product details:

ISBN 10: 3540380450

ISBN 13: 9783540380450

Author:  Ioannis Koutis 

LNCS 2764 – On the Hardness of Approximate Multivariate Integration 1st Edition: We show that it is NP-hard to <span id="MathJax-Element-1-Frame" class="MathJax_SVG" style="box-sizing: inherit; display: inline-block; font-style: normal; font-weight: normal; line-height: normal; font-size: 18px; font-size-adjust: none; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;" tabindex="0" role="presentation" data-mathml="2nk”>2nk-approximate the integral of a positive, smooth, polynomial-time computable n-variate function, for any fixed integer k.

 

LNCS 2764 – On the Hardness of Approximate Multivariate Integration 1st Edition Table of contents:

1 Introduction

2 Overview

3 The Proof

3.1 Definition and Properties of the Function FG

3.2 A Polynomial Time Algorithm for the Evaluation of FG

3.3 Bounding the Integrals

4 Conclusions

 

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