{"product_id":"optimization-of-polynomials-in-non-commuting-sabine-burgdorf-9783319333366","title":"Optimization of Polynomials in Non-Commuting Variables","description":"\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis book presents recent results on positivity and optimization of polynomials in non-commuting variables. Researchers in non-commutative algebraic geometry, control theory, system engineering, optimization, quantum physics and information science will find the unified notation and mixture of algebraic geometry and mathematical programming useful. Theoretical results are matched with algorithmic considerations; several examples and information on how to use NCSOStools open source package to obtain the results provided. Results are presented on detecting the eigenvalue and trace positivity of polynomials in non-commuting variables using Newton chip method and Newton cyclic chip method, relaxations for constrained and unconstrained optimization problems, semidefinite programming formulations of the relaxations and finite convergence of the hierarchies of these relaxations, and the practical efficiency of algorithms.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Sabine Burgdorf,Igor Klep,Janez Povh\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3319333364\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783319333366\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 07\/16\/2016\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 104\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.40lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.26d","brand":"Sabine Burgdorf","offers":[{"title":"Paperback","offer_id":49148310946047,"sku":"9783319333366","price":54.99,"currency_code":"USD","in_stock":true}],"url":"https:\/\/www.whiterainbookhouse.com\/products\/optimization-of-polynomials-in-non-commuting-sabine-burgdorf-9783319333366","provider":"WR Book House","version":"1.0","type":"link"}