Computational and Analytical Mathematics (eBook)

1. Normal Numbers and Pseudorandom Generators (D.H. Bailey and J.M. Borwein).- 2. New Demiclosedness Principles for (Firmly) Nonexpansive Operators (H.H. Bauschke).- 3. Champernowne's Number, Strong Normality, and the X Chromosome (A. Belshaw and P. Borwein).- 4. Optimality Conditions for Semivectorial Bilevel Convex Optimal Control Problems (H. Bonnel and J. Morgan).- 5. Monotone Operators Without Enlargements (J.M. Borwein, R.S. Burachik, and L. Yao).- 6. A Brøndsted-Rockafellar Theorem for Diagonal Subdifferential Operators (R.I. Boţ and E.R. Csetnek).- 7. A q-Analog of Euler's Reduction Formula for the Double Zeta Function (D.M. Bradley and X. Zhou).- 8. Fast Computation of Bernoulli, Tangent, and Secant Numbers (R.P. Brent and D. Harvey).- 9. Monotone Operator Methods for Nash Equilibria in Non-Potential Games (L.M. Briceño-Arias and P.L. Combettes).- 10. Compactness, Optimality, and Risk (B. Cascales, J. Orihuela, M. Ruiz Galán).- 11. Logarithmic and Complex Constant Term Identities (T. Chappell, A. Lascoux, S.O. Warnaar, and W. Zudilin).- 12. Preprocessing and Regularization for Degenerate Semidefinite Programs (Y.-L. Cheung, S. Schurr, and H. Wolkowicz).- 13. The Largest Roots of the Mandelbrot Polynomials (R.M. Corless and P.W. Lawrence).- 14. On the Fractal Distribution of Brain Synapses (R. Crandall).- 15. Visible Points in Convex Sets and Best Approximation (F. Deutsch, H. Hundal, and L. Zikatanov).- 16. On Derivative Criteria for Metric Regularity (A. Dontchev and H. Frankowska).- 17. Five Classes of Monotone Linear Relations and Operators (M.R. Edwards).- 18. Upper Semicontinuity of Duality and Preduality Mappings (J.R. Giles).- 19. Convexity and Variational Analysis (A.D. Ioffe).- 20. Generic Existence of Solutions and Generic Well-Posedness of Optimization Problems (P.S. Kenderov and J.P. Revalski).- 21. Legendre Functions Whose Gradients Map Convex Sets to Convex Sets (A. Knecht and J. Vanderwerff).- 22. On the Convergence of Iteration Proceses for Semigroups of Nonlinear Mappings in Banach Spaces (W.M. Kozlowski and B. Sims).- 23. Techniques and Open Questions in Computational Convex Analysis (Y. Lucet).- 24. Existence and Approximation of Fixed Points of Right Bregman Nonexpansive Operators (V. Martín-Márquez, S. Reich, and S. Sabach).- 25. Primal Lower Nice Functions and Their Moreau Envelopes (M. Mazade and L. Thibault).- 26. Bundle Method for Non-Convex Minimization with Inexact Subgradients and Function Values (D. Noll).- 27. Convergence of Linesearch and Trust-Region Methods Using the Kurdyka-Łojasiewicz Inequality (D. Noll and A. Rondepierre).- 28. Strong Duality in Conic Linear Programming: Facial Reduction and Extended Duals (G. Pataki).- 29. Towards a New Era in Subdifferential Analysis? (J.-P. Penot).- 30. Modular Equations and Lattice Sums (M. Rogers and B. Yuttanan).- 31. An Epigraph-Based Approach to Sensitivity Analysis in Set-Valued Optimization (D.E. Ward and S.E. Wright).