{"product_id":"primal-dual-interior-point-methods-9780898713824","title":"Primal-Dual Interior-Point Methods","description":"\u003cp\u003e • Author(s): Stephen J. Wright\u003cbr\u003e • Publisher: Siam\u003cbr\u003e • Publisher Imprint: Siam\u003cbr\u003e • BISAC: Technology And Engineering\u003c\/p\u003e\u003cp\u003eIn the past decade, primal-dual algorithms have emerged as the most important and useful algorithms from the interior-point class. This book presents the major primal-dual algorithms for linear programming in straightforward terms. A thorough description of the theoretical properties of these methods is given, as are a discussion of practical and computational aspects and a summary of current software. This is an excellent, timely, and well-written work. The major primal-dual algorithms covered in this book are path-following algorithms (short- and long-step, predictor-corrector), potential-reduction algorithms, and infeasible-interior-point algorithms. A unified treatment of superlinear convergence, finite termination, and detection of infeasible problems is presented. Issues relevant to practical implementation are also discussed, including sparse linear algebra and a complete specification of Mehrotra's predictor-corrector algorithm. Also treated are extensions of primal-dual algorithms to more general problems such as monotone complementarity, semidefinite programming, and general convex programming problems.\u003c\/p\u003e","brand":"Siam","offers":[{"title":"Paperback","offer_id":46266963787927,"sku":"9780898713824","price":4713.0,"currency_code":"INR","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9780898713824.webp?v=1769301267","url":"https:\/\/atlanticbooks.com\/products\/primal-dual-interior-point-methods-9780898713824","provider":"Atlantic Books","version":"1.0","type":"link"}