Splitting Algorithms, Modern Operator Theory, and Applications - Softcover

Inhaltsangabe

1. 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.

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