Convergence and Applications of Newton-type Iterations (Record no. 38474)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02923n a2200337#a 4500 |
| 001 - CONTROL NUMBER | |
| control field | 5000026 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20221213140637.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr|||||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 100301s2008 xxu| s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780387727431 |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1007/978-0-387-72743-1 |
| Source of number or code | doi |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | 978-0-387-72743-1 |
| 090 ## - IMPA CODE FOR CLASSIFICATION SHELVES | |
| IMPA CODE FOR CLASSIFICATION SHELVES | Matemáticas Gerais-(inclusive alguns textos elementares sobre assuntos específicos) |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Argyros, Ioannis K |
| 9 (RLIN) | 9097 |
| 245 10 - TITLE STATEMENT | |
| Title | Convergence and Applications of Newton-type Iterations |
| Medium | [electronic resource]/ |
| Statement of responsibility, etc. | by Ioannis K. Argyros. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | New York: |
| Name of publisher, distributor, etc. | Springer, NY, |
| Date of publication, distribution, etc. | 2008. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Other physical details | digital. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Preface -- Table of Contents -- Operators and Equations -- The Newton-Kantorovich (NK) Method -- Applications of the Weaker Version of the (NK) Theorem -- Special Methods -- Newton-Like Methods -- Analytic Computational Complexity: We are Concerned with the Choice of Initial Approximations -- Variational Inequalities -- Convergence Involving Operators with Outer or Generalized Inverses -- Convergence on Generalized Banach Spaces -- Point-to-Set Mappings -- The Newton-Kantorovich Theorem and Mathematical Programming -- Glossary of Symbols -- Bibliography . |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | Recent results in local convergence and semi-local convergence analysis constitute a natural framework for the theoretical study of iterative methods. This monograph provides a comprehensive study of both basic theory and new results in the area. Each chapter contains new theoretical results and important applications in engineering, modeling dynamic economic systems, input-output systems, optimization problems, and nonlinear and linear differential equations. Several classes of operators are considered, including operators without Lipschitz continuous derivatives, operators with high order derivatives, and analytic operators. Each section is self-contained. Examples are used to illustrate the theory and exercises are included at the end of each chapter. The book assumes a basic background in linear algebra and numerical functional analysis. Graduate students and researchers will find this book useful. It may be used as a self-study reference or as a supplementary text for an advanced course in numerical functional analysis . |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Mathematics. |
| 9 (RLIN) | 43458 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Functional analysis |
| General subdivision | Congresses. |
| 9 (RLIN) | 43528 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Computer science |
| General subdivision | Mathematics. |
| 9 (RLIN) | 37772 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Numerical analysis. |
| 9 (RLIN) | 43492 |
| 697 ## - LOCAL SUBJECT | |
| Local Subject | Matemáticas Gerais- |
| Description subdivision | (inclusive alguns textos elementares sobre assuntos específicos) |
| Linkage | 23752 |
| 710 1# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | SpringerLink (Online service). |
| 9 (RLIN) | 8857 |
| 773 0# - HOST ITEM ENTRY | |
| Title | Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Printed edition: |
| International Standard Book Number | 9780387727417 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="http://dx.doi.org/10.1007/978-0-387-72743-1">http://dx.doi.org/10.1007/978-0-387-72743-1</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Instituto de Matemática Pura e Aplicada |
| Koha item type | E-Book |
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