Computational and Analytical Mathematics

Table of Contents

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   Book Overview
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   Chapter 1 Normal Numbers and Pseudorandom Generators
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   Chapter 2 New Demiclosedness Principles for (Firmly) Nonexpansive Operators
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   Chapter 3 Champernowne’s Number, Strong Normality, and the X Chromosome
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   Chapter 4 Optimality Conditions for Semivectorial Bilevel Convex Optimal Control Problems
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   Chapter 5 Monotone Operators Without Enlargements
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   Chapter 6 A Brøndsted–Rockafellar Theorem for Diagonal Subdifferential Operators
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   Chapter 7 A q -Analog of Euler’s Reduction Formula for the Double Zeta Function
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   Chapter 8 Fast Computation of Bernoulli, Tangent and Secant Numbers
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    Chapter 9 Monotone Operator Methods for Nash Equilibria in Non-potential Games
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    Chapter 10 Compactness, Optimality, and Risk
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    Chapter 11 Logarithmic and Complex Constant Term Identities
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    Chapter 12 Preprocessing and Regularization for Degenerate Semidefinite Programs
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    Chapter 13 The Largest Roots of the Mandelbrot Polynomials
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    Chapter 14 On the Fractal Distribution of Brain Synapses
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    Chapter 15 Visible Points in Convex Sets and Best Approximation
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    Chapter 16 On Derivative Criteria for Metric Regularity
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    Chapter 17 Five Classes of Monotone Linear Relations and Operators
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    Chapter 18 Upper Semicontinuity of Duality and Preduality Mappings
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    Chapter 19 Convexity and Variational Analysis
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    Chapter 20 Generic Existence of Solutions and Generic Well-Posedness of Optimization Problems
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    Chapter 21 Legendre Functions Whose Gradients Map Convex Sets to Convex Sets
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    Chapter 22 On the Convergence of Iteration Processes for Semigroups of Nonlinear Mappings in Banach Spaces
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    Chapter 23 Techniques and Open Questions in Computational Convex Analysis
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    Chapter 24 Existence and Approximation of Fixed Points of Right Bregman Nonexpansive Operators
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    Chapter 25 Primal Lower Nice Functions and Their Moreau Envelopes
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    Chapter 26 Bundle Method for Non-Convex Minimization with Inexact Subgradients and Function Values
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    Chapter 27 Convergence of Linesearch and Trust-Region Methods Using the Kurdyka–Łojasiewicz Inequality
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    Chapter 28 Strong Duality in Conic Linear Programming: Facial Reduction and Extended Duals
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    Chapter 29 Towards a New Era in Subdifferential Analysis?
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    Chapter 30 Modular Equations and Lattice Sums
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    Chapter 31 An Epigraph-Based Approach to Sensitivity Analysis in Set-Valued Optimization