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Topics in Numerical Analysis

With Special Emphasis on Nonlinear Problems

  • Conference proceedings
  • © 2001

Overview

Editors:
  1. Goetz Alefeld

    1. Institut für Angewandte Mathematik, Universität Karlsruhe, Karlsruhe, Germany

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  2. Xiaojun Chen

    1. Department of Mathematical Sciences, Shimane University, Matsue, Japan

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Computing Supplementa (COMPUTING, volume 15)

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Table of contents (18 papers)

  1. Front Matter

    Pages I-XII
    Download chapter PDF

  2. A Unified Approach for Bounding the Positive Root of Certain Classes of Polynomials with Applications

    • Andreas Abels, Jürgen Herzberger
    Pages 1-7

  3. Numerical Verifications of Solutions for Obstacle Problems

    • R. P. Agarwal, C. S. Ryoo
    Pages 9-19

  4. On the Existence Theorems of Kantorovich, Moore and Miranda

    • G. E. Alefeld, F. A. Potra, Z. Shen
    Pages 21-28

  5. A Survey of Robust Preconditioning Methods

    • O. Axelsson
    Pages 29-48

  6. A Box-Constrained Optimization Algorithm with Negative Curvature Directions and Spectral Projected Gradients

    • E. G. Birgin, J. M. Martínez
    Pages 49-60

  7. Inclusions and Existence Proofs for Solutions of a Nonlinear Boundary Value Problem by Spectral Numerical Methods

    • B. Breuer, M. Plum, P. J. McKenna
    Pages 61-77

  8. A Superlinearly and Globally Convergent Method for Reaction and Diffusion Problems with a Non-Lipschitzian Operator

    • X. Chen
    Pages 79-90

  9. On Linear Asynchronous Iterations when the Spectral Radius of the Modulus Matrix is One

    • A. Frommer, P. Spiteri
    Pages 91-104

  10. Iterative Methods for Eigenvalue Problems with Nondifferentiable Normalized Condition of a General Complex Matrix

    • K. Ishihara
    Pages 105-118

  11. Global Optimization in Quadratic Semi-Infinite Programming

    • Y. Liu, K. L. Teo, S. Ito
    Pages 119-132

  12. Aggregation/Disaggregation Methods for p-cyclic Markov Chains

    • I. Marek, P. Mayer
    Pages 133-150

  13. A New Way to Describe the Symmetric Solution Set Ssym of Linear Interval Systems

    • Günter Mayer
    Pages 151-163

  14. A Guaranteed Bound of the Optimal Constant in the Error Estimates for Linear Triangular Element

    • M. T. Nakao, N. Yamamoto
    Pages 165-173

  15. Fast Verification of Solutions for Sparse Monotone Matrix Equations

    • Takeshi Ogita, Shin’ichi Oishi, Yasunori Ushiro
    Pages 175-187

  16. Laguerre-like Methods for the Simultaneous Approximation of Polynomial Zeros

    • M. S. Petković, L. Petković, D. Živković
    Pages 189-209

  17. A Smoothing Newton Method for Ball Constrained Variational Inequalities with Applications

    • L. Qi, G. Zhou
    Pages 211-225

  18. An Explicit Inversion Formula for Tridiagonal Matrices

    • T. Tsuchiya, Q. Fang
    Pages 227-238

  19. On the Rate of Convergence of the Levenberg-Marquardt Method

    • N. Yamashita, M. Fukushima
    Pages 239-249
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Keywords

About this book

This volume contains eighteen papers submitted in celebration of the sixty-fifth birthday of Professor Tetsuro Yamamoto of Ehime University. Professor Yamamoto was born in Tottori, Japan on January 4, 1937. He obtained his B. S. and M. S. in mathematics from Hiroshima University in 1959 and 1961, respec­ tively. In 1966, he took a lecturer position in the Department of Mathematics, Faculty of General Education, Hiroshima University and obtained his Ph. D. degree from Hiroshima University two years later. In 1969, he moved to the Department of Applied Mathematics, Faculty of Engineering, Ehime University as an associate professor and he has been a full professor of the Department of Mathematics (now Department of Mathematical Sciences), Faculty of Science, since 1975. At the early stage of his study, he was interested in algebraic eigen­ value problems and linear iterative methods. He published some papers on these topics in high level international journals. After moving to Ehime University, he started his research on Newton's method and Newton-like methods for nonlinear operator equations. He published many papers on error estimates of the methods. He established the remarkable result that all the known error bounds for Newton's method under the Kantorovich assumptions follow from the Newton-Kantorovich theorem, which put a period to the race of finding sharper error bounds for Newton's method.

Editors and Affiliations

  • Institut für Angewandte Mathematik, Universität Karlsruhe, Karlsruhe, Germany

    Goetz Alefeld

  • Department of Mathematical Sciences, Shimane University, Matsue, Japan

    Xiaojun Chen

Bibliographic Information

  • Book Title: Topics in Numerical Analysis

  • Book Subtitle: With Special Emphasis on Nonlinear Problems

  • Editors: Goetz Alefeld, Xiaojun Chen

  • Series Title: Computing Supplementa

  • DOI: https://doi.org/10.1007/978-3-7091-6217-0

  • Publisher: Springer Vienna

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Wien 2001

  • Softcover ISBN: 978-3-211-83673-6Published: 11 September 2001

  • eBook ISBN: 978-3-7091-6217-0Published: 06 December 2012

  • Series ISSN: 0344-8029

  • Edition Number: 1

  • Number of Pages: XII, 249

  • Number of Illustrations: 11 b/w illustrations

  • Topics: Numerical Analysis, Algorithms

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