LEADER 05157nam 22007215 450 001 9910360853803321 005 20251113195946.0 010 $a3-030-25939-0 024 7 $a10.1007/978-3-030-25939-6 035 $a(CKB)4100000009759192 035 $a(DE-He213)978-3-030-25939-6 035 $a(MiAaPQ)EBC5974945 035 $a(PPN)269145265 035 $a(MiAaPQ)EBC5974907 035 $a(EXLCZ)994100000009759192 100 $a20191106d2019 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aSplitting Algorithms, Modern Operator Theory, and Applications /$fedited by Heinz H. Bauschke, Regina S. Burachik, D. Russell Luke 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (XIX, 489 p. 35 illus., 25 illus. in color.) 311 08$a3-030-25938-2 320 $aIncludes bibliographical references. 327 $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. Martínez-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. 330 $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. 606 $aOperator theory 606 $aMathematical optimization 606 $aCalculus of variations 606 $aDifferential equations 606 $aFunctional analysis 606 $aNumerical analysis 606 $aOperator Theory 606 $aCalculus of Variations and Optimization 606 $aDifferential Equations 606 $aFunctional Analysis 606 $aNumerical Analysis 615 0$aOperator theory. 615 0$aMathematical optimization. 615 0$aCalculus of variations. 615 0$aDifferential equations. 615 0$aFunctional analysis. 615 0$aNumerical analysis. 615 14$aOperator Theory. 615 24$aCalculus of Variations and Optimization. 615 24$aDifferential Equations. 615 24$aFunctional Analysis. 615 24$aNumerical Analysis. 676 $a515.724 676 $a515.724 702 $aBauschke$b Heinz H$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aBurachik$b Regina S$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aLuke$b D. Russell$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910360853803321 996 $aSplitting Algorithms, Modern Operator Theory, and Applications$91733532 997 $aUNINA