By Miguel F. Anjos, Jean B. Lasserre

ISBN-10: 1461407699

ISBN-13: 9781461407690

Creation to semidefinite, conic and polynomial optimization / MIguel F. Anjos and Jean B. Lasserre -- The process of moments for polynomial equations / Monique Laurent and Philipp Rostalski -- Algebraic measure in semidefinite and polynomial optimization / Kristian Ranestad -- Semidefinite illustration of convex units and convex hulls / J. William Helton and Jiawang Nie -- Convex hulls of algebraic units / Joa̋o Gouveia and Rekha Thomas -- Convex relaxations and integrality gaps / Eden Chlamtac and Madhur Tulsiani -- Relaxations of combinatorial difficulties through organization schemes / Etienne de Klerk, Fernando M. de Oliveira Filho, and Dimitrii V. Pasechnik -- Copositive programming / Samuel Burer -- Invariant semidefinite courses / Christine Bachoc ... [et al.] -- A "joint+marginal" strategy in optimization / Jean B. Lasserre -- An advent to officially actual Jordan algebras and their purposes in optimization / F. Alizadeh -- Complementarity difficulties over symmetric cones: a survey of modern advancements in numerous elements / Akiko Yoshise -- Convexity and semidefinite programming in dimension-free matrix unknowns / J. William Helton, Igor Klep, and Scott McCullough -- Positivity and optimization: past polynomials / Jean B. Lasserre and Mihai Putinar -- Self-regular interior-point tools for semidefinite optimization / Maziar Salahi and Tamás Terlaky -- straightforward optimality stipulations for nonlinear SDPs / Florian Jarre -- contemporary development in interior-point tools: cutting-plane algorithms and hot starts off / Alexander Engau -- Exploiting sparsity in SDP leisure of polynomial optimization difficulties / Sunyoung Kim and Masakazu Kojima -- Block coordinate descent equipment for semidefinite programming / Zaiwen Wen, Donald Goldfarb, and Katya Scheinberg -- Projection equipment in conic optimization / Didier Henrion and Jérôme Malick -- SDP relaxations for non-commutative polynomial optimization / Miguel Navascués, Stefano Pironio, and Antonio Acín -- Semidefinite programming and constraint programming / Willem-Jan van Hoeve -- The cutting-edge in conic optimization software program / Hans D. Mittelmann -- most modern advancements within the SDPA relations for fixing large-scale SDPs / Makoto Yamashita ... [et al.] -- at the implementation and utilization of SDPT3: a MATLAB software program package deal for semidefinite-quadratic-linear programming, model 4.0 / Kim-Chuan Toh, MIchael J. Todd, and Reha H. Tütüncü -- SDP relaxations for a few combinatorial optimization difficulties / Renata Sotirov -- Computational techniques to max-cut / Laura Palagi ... [et al.] -- worldwide ways for facility structure and VLSI floorplanning / Miguel F. Anjos and Frauke Liers -- Euclidian distance matrices and functions / Nathan Krislock and Henry Wolkowicz -- Sparse PCA: convex relaxations, algorithms and functions / Youwei Zhang, Alexandre d'Aspremont, and Laurent El Ghaoui

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