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a 9783030259396

100 
1 

a Bauschke, Heinz H.
e [editor]

245 
0 
0 
a Splitting Algorithms, Modern Operator Theory, and Applications
h Elektronische Ressource
c edited by Heinz H. Bauschke, Regina S. Burachik, D. Russell Luke

250 


a 1st ed. 2019

260 


a Cham
b Springer International Publishing
c 2019, 2019

300 


a XIX, 489 p. 35 illus., 25 illus. in color
b online resource

505 
0 

a 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 Illposed Problems with NonNegative Solutions (C. Clason, B. Kaltenbacher, E. Resmerita)  6. Characterizations of Superregularity and its Variants (A. Danillidis, D.R. Luke, M. Tam)  7. The Inverse Function Theorems of L.M. Graves (A.L. Dontchev)  8. Blockwise Alternating Direction Method of Multipliers with Gaussian Back Substitution for Multipleblock 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 Continuoustime and Discretetime Dynamics (R. Goebel)  11. A Survey on Proximal Point Type Algorithms for Solving Vector Optimization Problems (SM Grad)  12. Nonpolyhedral Extensions of the Frank and Wolfe Theorem (J.E. MartínezLegaz, 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 ForwardBackward 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

653 


a Functional analysis

653 


a Numerical Analysis

653 


a Functional Analysis

653 


a Calculus of Variations and Optimization

653 


a Operator theory

653 


a Numerical analysis

653 


a Operator Theory

653 


a Differential Equations

653 


a Mathematical optimization

653 


a Calculus of variations

653 


a Differential equations

700 
1 

a Burachik, Regina S.
e [editor]

700 
1 

a Luke, D. Russell
e [editor]

041 
0 
7 
a eng
2 ISO 6392

989 


b Springer
a Springer eBooks 2005

028 
5 
0 
a 10.1007/9783030259396

856 
4 
0 
u https://doi.org/10.1007/9783030259396?nosfx=y
x Verlag
3 Volltext

082 
0 

a 515.724

520 


a This book brings together research articles and stateoftheart 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
