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020 _a9781461486152
_9978-1-4614-8615-2
024 7 _a10.1007/978-1-4614-8615-2
_2doi
050 4 _aQA402.5-402.6
072 7 _aPBU
_2bicssc
072 7 _aMAT003000
_2bisacsh
082 0 4 _a519.6
_223
100 1 _aDemyanov, Vladimir F.
_eeditor.
245 1 0 _aConstructive Nonsmooth Analysis and Related Topics
_h[electronic resource] /
_cedited by Vladimir F. Demyanov, Panos M. Pardalos, Mikhail Batsyn.
264 1 _aNew York, NY :
_bSpringer New York :
_bImprint: Springer,
_c2014.
300 _aXII, 253 p. 35 illus., 11 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Optimization and Its Applications,
_x1931-6828 ;
_v87
505 0 _aConstructive Noonsmooth Analysis and Related Topics (V. Demyanov, P.M. Pardalos, M. Batsyn) -- Use Model Theory in Nonsmooth Analysis (S.S. Kutateladze) -- Demyanov Difference in Infinite Dimensional Spaces (J. Grzybowski, D. Pallaschke, R. Urbanski) -- Separable Reduction of Metric Regularity Properties (A.D. Ioffe) -- Construction of Pairs of Reproducing Kernel Banach Spaces (P.G. Georgiev, L. Sanchez-Gonzalez, P.M. Pardalos) -- On the Regularization Method in Nondifferentiable Optimization Applied to Hemivariational Inequalities (N. Ovcharova, J. Gwinner) -- Dynamics and Optimization of Multibody Systems in the Presence of Dry Friction (F.L. Chemousko) -- Method of Steepest Descent for Two-Dimensional Problems of Calculus in Variations (M.V. Dolgopolik, G.Sh.Tamasyan) -- On a Quantitative Semicontinuity Property of Variational Systems with Applications to Perturbed Quasidifferentiable Optimization (A. Uderzo) -- Some Remarks on Bi-Level Vector Extremum Problems (C. Antoni, F. Giannessi) -- Well-Posedness for Lexicographic Vector Equilibrium Problems (L.Q. Anh, T.Q. Duy, A.Y. Kruger, N.H. Thao) -- The Best Linear Separation of Two Sets (V.N. Malozemov, E.K. Cherneutsanu) -- Alternance Form of Optimality Conditions in the Finite-Dimensional Space (V.F. Demyanov, V.N. Malozemov) -- Optimal Multiple Decision Statistical Procedure for Inverse Covariance Matrix (A.P. Koldanov, P.A. Koldanov) -- Conciliating Generalized Derivatives (J.-P. Penot) -- The Nonsmooth Path of Alex M. Rubinov (S.S. Kutateladze) -- Two Giants From St. Petersburg (S.S. Kututeladze) -- Convex Analysis and Optimization in the Past 50 Years: Some Snapshots (J.-B. Hiriart-Urruty).
520 _aThis volume contains a collection of papers based on lectures and presentations delivered at the International Conference on Constructive Nonsmooth Analysis (CNSA) held in St. Petersburg (Russia) from June 18-23, 2012. This conference was organized to mark the 50th anniversary of the birth of nonsmooth analysis and nondifferentiable optimization and was dedicated to J.-J. Moreau and the late B.N. Pshenichnyi, A.M. Rubinov, and N.Z. Shor, whose contributions to NSA and NDO remain invaluable. The first four chapters of the book are devoted to the theory of nonsmooth analysis. Chapters 5-8 contain new results in nonsmooth mechanics and calculus of variations. Chapters 9-13 are related to nondifferentiable optimization, and the volume concludes with four chapters containing interesting and important historical chapters, including tributes to three giants of nonsmooth analysis, convexity, and optimization: Alexandr Alexandrov, Leonid Kantorovich, and Alex Rubinov. The last chapter provides an overview and important snapshots of the 50-year history of convex analysis and optimization.
650 0 _aMathematics.
650 0 _aDifferentiable dynamical systems.
650 0 _aAlgorithms.
650 0 _aComputer science.
650 0 _aMathematical optimization.
650 1 4 _aMathematics.
650 2 4 _aOptimization.
650 2 4 _aAlgorithms.
650 2 4 _aDynamical Systems and Ergodic Theory.
650 2 4 _aComputational Science and Engineering.
700 1 _aPardalos, Panos M.
_eeditor.
700 1 _aBatsyn, Mikhail.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781461486145
830 0 _aSpringer Optimization and Its Applications,
_x1931-6828 ;
_v87
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4614-8615-2
912 _aZDB-2-SMA
999 _c92208
_d92208