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Media type:
Book
Title:
Handbook on semidefinite, conic and polynomial optimization
Contains:
Introduction to semidefinite, conic and polynomial optimization / MIguel F. Anjos and Jean B. LasserreThe approach of moments for polynomial equations / Monique Laurent and Philipp Rostalski -- Algebraic degree in semidefinite and polynomial optimization / Kristian Ranestad -- Semidefinite representation of convex sets and convex hulls / J. William Helton and Jiawang Nie -- Convex hulls of algebraic sets / Joa̋o Gouveia and Rekha Thomas -- Convex relaxations and integrality gaps / Eden Chlamtac and Madhur Tulsiani -- Relaxations of combinatorial problems via association schemes / Etienne de Klerk, Fernando M. de Oliveira Filho, and Dimitrii V. Pasechnik -- Copositive programming / Samuel Burer -- Invariant semidefinite programs / Christine Bachoc ... [et al.] -- A "joint+marginal" approach in optimization / Jean B. Lasserre -- An introduction to formally real Jordan algebras and their applications in optimization / F. Alizadeh -- Complementarity problems over symmetric cones: a survey of recent developments in several aspects / Akiko Yoshise -- Convexity and semidefinite programming in dimension-free matrix unknowns / J. William Helton, Igor Klep, and Scott McCullough -- Positivity and optimization: beyond polynomials / Jean B. Lasserre and Mihai Putinar.
Self-regular interior-point methods for semidefinite optimization / Maziar Salahi and Tamás TerlakyElementary optimality conditions for nonlinear SDPs / Florian Jarre -- Recent progress in interior-point methods: cutting-plane algorithms and warm starts / Alexander Engau -- Exploiting sparsity in SDP relaxation of polynomial optimization problems / Sunyoung Kim and Masakazu Kojima -- Block coordinate descent methods for semidefinite programming / Zaiwen Wen, Donald Goldfarb, and Katya Scheinberg -- Projection methods 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 state-of-the-art in conic optimization software / Hans D. MittelmannLatest developments in the SDPA family for solving large-scale SDPs / Makoto Yamashita ... [et al.] -- On the implementation and usage of SDPT3: a MATLAB software package for semidefinite-quadratic-linear programming, version 4.0 / Kim-Chuan Toh, MIchael J. Todd, and Reha H. Tütüncü -- SDP relaxations for some combinatorial optimization problems / Renata Sotirov -- Computational approaches to max-cut / Laura Palagi ... [et al.] -- Global approaches for facility layout and VLSI floorplanning / Miguel F. Anjos and Frauke Liers -- Euclidian distance matrices and applications / Nathan Krislock and Henry Wolkowicz -- Sparse PCA: convex relaxations, algorithms and applications / Youwei Zhang, Alexandre d'Aspremont, and Laurent El Ghaoui.