Computational and Analytical Mathematics

In Honor of Jonathan Borwein's 60th Birthday

ISBN: 978-1-4614-7620-7 (Print) 978-1-4614-7621-4 (Online)

Table of contents (31 chapters)

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  1. Front Matter

    Pages i-xv

  2. Chapter

    Pages 1-18

    Normal Numbers and Pseudorandom Generators

  3. Chapter

    Pages 19-28

    New Demiclosedness Principles for (Firmly) Nonexpansive Operators

  4. Chapter

    Pages 29-44

    Champernowne’s Number, Strong Normality, and the X Chromosome

  5. Chapter

    Pages 45-78

    Optimality Conditions for Semivectorial Bilevel Convex Optimal Control Problems

  6. Chapter

    Pages 79-103

    Monotone Operators Without Enlargements

  7. Chapter

    Pages 105-112

    A Brøndsted–Rockafellar Theorem for Diagonal Subdifferential Operators

  8. Chapter

    Pages 113-126

    A q-Analog of Euler’s Reduction Formula for the Double Zeta Function

  9. Chapter

    Pages 127-142

    Fast Computation of Bernoulli, Tangent and Secant Numbers

  10. Chapter

    Pages 143-159

    Monotone Operator Methods for Nash Equilibria in Non-potential Games

  11. Chapter

    Pages 161-218

    Compactness, Optimality, and Risk

  12. Chapter

    Pages 219-250

    Logarithmic and Complex Constant Term Identities

  13. Chapter

    Pages 251-303

    Preprocessing and Regularization for Degenerate Semidefinite Programs

  14. Chapter

    Pages 305-324

    The Largest Roots of the Mandelbrot Polynomials

  15. Chapter

    Pages 325-348

    On the Fractal Distribution of Brain Synapses

  16. Chapter

    Pages 349-364

    Visible Points in Convex Sets and Best Approximation

  17. Chapter

    Pages 365-374

    On Derivative Criteria for Metric Regularity

  18. Chapter

    Pages 375-400

    Five Classes of Monotone Linear Relations and Operators

  19. Chapter

    Pages 401-410

    Upper Semicontinuity of Duality and Preduality Mappings

  20. Chapter

    Pages 411-444

    Convexity and Variational Analysis

  21. Chapter

    Pages 445-453

    Generic Existence of Solutions and Generic Well-Posedness of Optimization Problems

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