Computational and analytical mathematics : in honor of Jonathan Borwein's 60th birthday
著者
書誌事項
Computational and analytical mathematics : in honor of Jonathan Borwein's 60th birthday
(Springer proceedings in mathematics & statistics, v. 50)
Springer, c2013
大学図書館所蔵 全5件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
Includes bibliographical references
内容説明・目次
内容説明
The research of Jonathan Borwein has had a profound impact on optimization, functional analysis, operations research, mathematical programming, number theory, and experimental mathematics. Having authored more than a dozen books and more than 300 publications, Jonathan Borwein is one of the most productive Canadian mathematicians ever. His research spans pure, applied, and computational mathematics as well as high performance computing, and continues to have an enormous impact: MathSciNet lists more than 2500 citations by more than 1250 authors, and Borwein is one of the 250 most cited mathematicians of the period 1980-1999. He has served the Canadian Mathematics Community through his presidency (2000-02) as well as his 15 years of editing the CMS book series.
Jonathan Borwein's vision and initiative have been crucial in initiating and developing several institutions that provide support for researchers with a wide range of scientific interests. A few notable examples include the Centre for Experimental and Constructive Mathematics and the IRMACS Centre at Simon Fraser University, the Dalhousie Distributed Research Institute at Dalhousie University, the Western Canada Research Grid, and the Centre for Computer Assisted Research Mathematics and its Applications, University of Newcastle.
The workshops that were held over the years in Dr. Borwein's honor attracted high-caliber scientists from a wide range of mathematical fields. This present volume is an outgrowth of the workshop on 'Computational and Analytical Mathematics' held in May 2011 in celebration of Dr. Borwein's 60th Birthday. The collection contains various state-of-the-art research manuscripts and surveys presenting contributions that have risen from the conference, and is an excellent opportunity to survey state-of-the-art research and discuss promising research directions and approaches.
目次
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 Brondsted-Rockafellar Theorem for Diagonal Subdifferential Operators (R.I. Bot 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. Briceno-Arias and P.L. Combettes).- 10. Compactness, Optimality, and Risk (B. Cascales, J. Orihuela, M. Ruiz Galan).- 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. Martin-Marquez, 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-Lojasiewicz 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).
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