{"product_id":"introductory-lectures-on-convex-optimization-y-nesterov-9781402075537","title":"Introductory Lectures on Convex Optimization: A Basic Course","description":"It was in the middle of the 1980s, when the seminal paper by Kar- markar opened a new epoch in nonlinear optimization. The importance of this paper, containing a new polynomial-time algorithm for linear op- timization problems, was not only in its complexity bound. At that time, the most surprising feature of this algorithm was that the theoretical pre- diction of its high efficiency was supported by excellent computational results. This unusual fact dramatically changed the style and direc- tions of the research in nonlinear optimization. Thereafter it became more and more common that the new methods were provided with a complexity analysis, which was considered a better justification of their efficiency than computational experiments. In a new rapidly develop- ing field, which got the name \"polynomial-time interior-point methods\", such a justification was obligatory. Afteralmost fifteen years of intensive research, the main results of this development started to appear in monographs[12, 14, 16, 17, 18, 19]. Approximately at that time the author was asked to prepare a new course on nonlinear optimization for graduate students. The idea was to create a course which would reflect the new developments in the field. Actually, this was a major challenge. At the time only the theory of interior-point methods for linear optimization was polished enough to be explained to students. The general theory of self-concordant functions had appeared in print only once in the form of research monograph [12].\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Y. Nesterov\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1402075537\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781402075537\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 12\/31\/2003\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 236\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.24lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.56h x 6.46w x 0.82d","brand":"Y. Nesterov","offers":[{"title":"Hardcover","offer_id":43980300517631,"sku":"9781402075537","price":199.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_001ecab5-c2ce-4b8a-82f4-5110d14a5922.jpg?v=1683249129","url":"https:\/\/www.whiterainbookhouse.com\/products\/introductory-lectures-on-convex-optimization-y-nesterov-9781402075537","provider":"WR Book House","version":"1.0","type":"link"}