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000917122 019__ $$a1127279297$$a1129167102
000917122 020__ $$a9783030259396$$q(electronic book)
000917122 020__ $$a3030259390$$q(electronic book)
000917122 020__ $$z9783030259389
000917122 020__ $$z3030259382
000917122 0247_ $$a10.1007/978-3-030-25939-6$$2doi
000917122 0247_ $$a10.1007/978-3-030-25
000917122 035__ $$aSP(OCoLC)on1127579383
000917122 035__ $$aSP(OCoLC)1127579383$$z(OCoLC)1127279297$$z(OCoLC)1129167102
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000917122 049__ $$aISEA
000917122 050_4 $$aQA329
000917122 08204 $$a515.724$$223
000917122 24500 $$aSplitting algorithms, modern operator theory, and applications /$$cHeinz H. Bauschke, Regina S. Burachik, D. Russell Luke, editors.
000917122 264_1 $$aCham :$$bSpringer,$$c2019.
000917122 300__ $$a1 online resource (xix, 489 pages) :$$billustrations.
000917122 336__ $$atext$$btxt$$2rdacontent
000917122 337__ $$acomputer$$bc$$2rdamedia
000917122 338__ $$aonline resource$$bcr$$2rdacarrier
000917122 504__ $$aIncludes bibliographical references.
000917122 5050_ $$a1. Convergence Rate of Proximal Inertial Algorithms Associated with Moreau Envelopes of Convex Functions (H. Attouch, J. Peypouquet) -- 2. Constraint Splitting and Projection Methods for Optimal Control of Double Integrator (H.H. Bauschke, R.S. Burachik, C.Y. Kaya) -- 3. Numerical Explorations of Feasibility Algorithms for Finding Points in the Intersection of Finite Sets (H.,H. Bauschke, S. Gretchko, W.M. Moursi) -- 4. Variable Metric ADMM for Solving Variational Inequalities with Monotone Operators Over Affine Sets (R. I. Bot, E.R. Csetnek, D. Meier) -- 5. Regularization of Ill-posed Problems with Non-Negative Solutions (C. Clason, B. Kaltenbacher, E. Resmerita) -- 6. Characterizations of Super-regularity and its Variants (A. Danillidis, D.R. Luke, M. Tam) -- 7. The Inverse Function Theorems of L.M. Graves (A.L. Dontchev) -- 8. Block-wise Alternating Direction Method of Multipliers with Gaussian Back Substitution for Multiple-block Convex Programming (X. Fu, B. He, X. Wang, X. Yuan) -- 9. Variable Metric Algorithms Driven by Averaged Operations (L.E. Glaudin) -- 10. A Glimpse at Pointwise Asymptotic Stability for Continuous-time and Discrete-time Dynamics (R. Goebel) -- 11. A Survey on Proximal Point Type Algorithms for Solving Vector Optimization Problems (S-M Grad) -- 12. Non-polyhedral Extensions of the Frank and Wolfe Theorem (J.E. Mart?nez-Legaz, D. Noll, W. Sosa) -- 13. A Note on the Equivalence of Operator Splitting Methods (W.M. Moursi, Y. Zinchenko) -- 14. Quasidensity: A Survey and Some Examples (S. Simons) -- 15. On the Acceleration of Forward-Backward Splitting via an Inexact Newton Method (A. Themelis, M. Ahookosh, P. Patrinos) -- 16. Hierarchical Convex Optimization by the Hybrid Steepest Descent Method with Proximal Splitting Operators - Enhancements of SVM and Lasso (I. Yamada, M. Yamagishi) -- Appendix -- References.
000917122 506__ $$aAccess limited to authorized users.
000917122 520__ $$aThis book brings together research articles and state-of-the-art surveys in broad areas of optimization and numerical analysis with particular emphasis on algorithms. The discussion also focuses on advances in monotone operator theory and other topics from variational analysis and nonsmooth optimization, especially as they pertain to algorithms and concrete, implementable methods. The theory of monotone operators is a central framework for understanding and analyzing splitting algorithms. Topics discussed in the volume were presented at the interdisciplinary workshop titled Splitting Algorithms, Modern Operator Theory, and Applications held in Oaxaca, Mexico in September, 2017. Dedicated to Jonathan M. Borwein, one of the most versatile mathematicians in contemporary history, this compilation brings theory together with applications in novel and insightful ways.
000917122 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed November 11, 2019).
000917122 650_0 $$aOperator theory.
000917122 650_0 $$aMonotone operators.
000917122 650_0 $$aAlgorithms.
000917122 7001_ $$aBauschke, Heinz H.,$$eeditor.
000917122 7001_ $$aBurachik, Regina S.,$$eeditor.
000917122 7001_ $$aLuke, D. Russell.$$eeditor.
000917122 77608 $$iPrint version: $$z3030259382$$z9783030259389$$w(OCoLC)1105326841
000917122 852__ $$bebk
000917122 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-030-25939-6$$zOnline Access$$91397441.1
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