Recent advances in real complexity and computation : UIMP-RSME Lluís A. Santaló Summer School, recent advances in real complexity and computation, July 16-20, 2012, Universidad Internacional Menéndez Pelayo, Santander, Spain
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Bibliographic Information
Recent advances in real complexity and computation : UIMP-RSME Lluís A. Santaló Summer School, recent advances in real complexity and computation, July 16-20, 2012, Universidad Internacional Menéndez Pelayo, Santander, Spain
（Contemporary mathematics, 604）
American Mathematical Society, c2013
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science数学
Spain/2012-R/Proc.2080344986
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Includes bibliographical references
Description and Table of Contents
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).
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