Recent Advances in Real Complexity and Computation

Ebook Details


Jose Luis Montana, Luis M. Pardo

Year 2014
Pages 185
Publisher Amer Mathematical Society
Language en
ISBN 9780821891506
File Size 4.45 MB
File Format PDF
Download Counter 106
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Ebook Description

This volume is composed of six contributions derived from the lectures given during the UIMP-RSME Lluis Santalo Summer School on ""Recent Advances in Real Complexity and Computation", held July 16-20, 2012, in Santander, Spain. The goal of this Summer School was to present some of the recent advances on Smale's 17th Problem: "Can a zero of $n$ complex polynomial equations in $n$ unknowns be found approximately, on the average, in polynomial time with a uniform algorithm?" These papers cover several aspects of this problem: from numerical to symbolic methods in polynomial equation solving, computational complexity aspects (both worse and average cases and both upper and lower complexity bounds) as well as aspects of the underlying geometry of the problem. Some of the contributions also deal with either real or multiple solutions solving. This book is published in cooperation with Real Sociedad Matematica Espanola (RSME).