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| INTRODUCTION TO INTERVAL COMPUTATION
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To order this title, and for more information, click here
By
Gotz Alefeld, Fakultat Fur Mathematik, Universitat Karlsruhe, Germany
Jurgen Herzberger, Fakultat Fur Mathematik, Universitat Oldenburg, Germany
Description
This book is revised and expanded version of the original German text. The arrangement of the material and the structure are essentially
unchanged. All remarks in the Preface to the German Edition regarding naming conventions for formulas, theorems, lemmas, and definitions
are still valid as are those concerning the arrangement and choice of material.
Audience
Students and Mathematicians.
Contents
Preface to the English Edition. Preface to the German Edition. Real Interval Arithmetic. Further Concepts and Properties. Interval Evaluation
and Range of Real Functions. Machine Interval Arithmetic. Complex Interval Arithmetic. Metric, Absolute, Value, and Width in. Inclusion
of Zeros of a Function of One Real Variable. Methods for the Simultaneous Inclusion of Real Zeros of Polynomials. Methods for the Simultaneous
Inclusion of Complex Zeros of Polynomials. Interval Matrix Operations. Fixed Point Iteration for Nonlinear Systems of Equations. Systems
of Linear Equations Amenable to Interation. Optimality of the Symmetric Single Step Method with Taking Intersection after Every Component.
On the Feasibility of the Gaussian Algorithm for Systems of Equations with Intervals as Coefficients. Hansen's Method. The Procedure
of Kupermann and Hansen. Ireation Methods for the Inclusion of the Inverse Matrix and for Triangular Decompositions. Newton-like Methods
for Nonlinear Systems of Equations. Newton-like Methods without Matrix Inversions. Newton-like Methods for Particular Systems of Nonlinear
Equations. Newton-like Total step and Single Step Methods. Appendix A. The Order of Convergence of Iteration Methods in vn(Ic) and Mmn(iC)
). Appendix B. Realizations of Machine Interval Arithmetics in ALGOL 60. Appendix C. ALGOL Procedures. Bibliography. Index of Notation.
Subject Index.
| Bibliographic details |
Hardbound, 352 pages, publication date: NOV-1983
ISBN-13: 978-0-12-049820-8
ISBN-10: 0-12-049820-0
Imprint: ACADEMIC PRESS
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| Price and Ordering |
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Last update: 7 Sep 2009
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