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Topics in Numerical Analysis

With Special Emphasis on Nonlinear Problems

  • Goetz Alefeld
  • Xiaojun Chen
Conference proceedings

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

Table of contents

  1. Front Matter
    Pages I-XII
  2. R. P. Agarwal, C. S. Ryoo
    Pages 9-19
  3. G. E. Alefeld, F. A. Potra, Z. Shen
    Pages 21-28
  4. Y. Liu, K. L. Teo, S. Ito
    Pages 119-132
  5. Takeshi Ogita, Shin’ichi Oishi, Yasunori Ushiro
    Pages 175-187
  6. M. S. Petković, L. Petković, D. Živković
    Pages 189-209
  7. T. Tsuchiya, Q. Fang
    Pages 227-238
  8. N. Yamashita, M. Fukushima
    Pages 239-249

About these proceedings

Introduction

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.

Keywords

algorithms nonlinear problems numerical analysis optimization algorithm programming

Editors and affiliations

  • Goetz Alefeld
    • 1
  • Xiaojun Chen
    • 2
  1. 1.Institut für Angewandte MathematikUniversität KarlsruheKarlsruheGermany
  2. 2.Department of Mathematical SciencesShimane UniversityMatsueJapan

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-7091-6217-0
  • Copyright Information Springer-Verlag/Wien 2001
  • Publisher Name Springer, Vienna
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-211-83673-6
  • Online ISBN 978-3-7091-6217-0
  • Series Print ISSN 0344-8029
  • Buy this book on publisher's site
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