{"product_id":"moments-positive-polynomials-and-their-jean-bernard-lasserre-9781848164451","title":"Moments, Positive Polynomials and Their Applications","description":"Many important applications in global optimization, algebra, probability and statistics, applied mathematics, control theory, financial mathematics, inverse problems, etc. can be modeled as a particular instance of the Generalized Moment Problem (GMP).This book introduces a new general methodology to solve the GMP when its data are polynomials and basic semi-algebraic sets. This methodology combines semidefinite programming with recent results from real algebraic geometry to provide a hierarchy of semidefinite relaxations converging to the desired optimal value. Applied on appropriate cones, standard duality in convex optimization nicely expresses the duality between moments and positive polynomials.In the second part, the methodology is particularized and described in detail for various applications, including global optimization, probability, optimal control, mathematical finance, multivariate integration, etc., and examples are provided for each particular application.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Jean Bernard Lasserre\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1848164459\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781848164451\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Imperial College Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 10\/01\/2009\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 384\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.55lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.10h x 6.10w x 0.90d\u003cbr\u003e\u003cbr\u003e\u003cb\u003eReview Citation(s): \u003c\/b\u003e\u003cbr\u003e\u003ci\u003eReference and Research Bk News\u003c\/i\u003e 10\/01\/2011 pg. 219","brand":"Jean Bernard Lasserre","offers":[{"title":"Hardcover","offer_id":46602756423935,"sku":"9781848164451","price":138.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_617d9d11-63f2-4552-a3c5-38c5ab2637af.jpg?v=1739695190","url":"https:\/\/www.whiterainbookhouse.com\/products\/moments-positive-polynomials-and-their-jean-bernard-lasserre-9781848164451","provider":"WR Book House","version":"1.0","type":"link"}