{"product_id":"nonlinear-equations-and-optimisation-paperback","title":"Nonlinear Equations and Optimisation - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eL. T. Watson\u003c\/b\u003e (Author), \u003cb\u003eJ. A. Ford\u003c\/b\u003e (Author), \u003cb\u003eM. Bartholomew-Biggs\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\/homepage\/sac\/cam\/na2000\/index.html7-Volume Set now available at special set price !\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003cbr\u003eIn one of the papers in this collection, the remark that nothing at all takes place in the universe in which some rule of maximum of minimum does not appear is attributed to no less an authority than Euler. Simplifying the syntax a little, we might paraphrase this as \u003ci\u003eEverything is an optimization problem.\u003c\/i\u003e While this might be something of an overstatement, the element of exaggeration is certainly reduced if we consider the extended form: \u003ci\u003eEverything is an optimization problem or a system of equations.\u003c\/i\u003e This observation, even if only partly true, stands as a fitting testimonial to the importance of the work covered by this volume. \u003cbr\u003eSince the 1960s, much effort has gone into the development and application of numerical algorithms for solving problems in the two areas of optimization and systems of equations. As a result, many different ideas have been proposed for dealing efficiently with (for example) severe nonlinearities and\/or very large numbers of variables. Libraries of powerful software now embody the most successful of these ideas, and one objective of this volume is to assist potential users in choosing appropriate software for the problems they need to solve. More generally, however, these collected review articles are intended to provide both researchers and practitioners with snapshots of the 'state-of-the-art' with regard to algorithms for particular classes of problem. These snapshots are meant to have the virtues of immediacy through the inclusion of very recent ideas, but they also have sufficient depth of field to show how ideas have developed and how today's research questions have grown out of previous solution attempts. \u003cbr\u003eThe most efficient methods for \u003ci\u003elocal optimization, \u003c\/i\u003e both unconstrained and constrained, are still derived from the classical Newton approach. \u003cbr\u003eAs well as dealing in depth with the various classical, or neo-classical, approaches, the selection of papers on optimization in this volume ensures that newer ideas are also well represented. \u003cbr\u003eSolving nonlinear algebraic systems of equations is closely related to optimization. The two are not completely equivalent, however, and usually something is lost in the translation. \u003cbr\u003eAlgorithms for nonlinear equations can be roughly classified as \u003ci\u003elocally convergent\u003c\/i\u003e or \u003ci\u003eglobally convergent.\u003c\/i\u003e The characterization is not perfect. \u003cbr\u003eLocally convergent algorithms include Newton's method, modern quasi-Newton variants of Newton's method, and trust region methods. All of these approaches are well represented in this volume.\u003cbr\u003e\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 384\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.79 x 11 x 8.25 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e March 14, 2001\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":47748920049913,"sku":"9780444505996","price":161.91,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0789\/2782\/3097\/files\/rMwKiAPCph9780444505996.webp?v=1775072702","url":"https:\/\/bookscloud.io\/products\/nonlinear-equations-and-optimisation-paperback","provider":"BooksCloud Book Dropshipping","version":"1.0","type":"link"}