Name: Introduction to Interval Computation By Gotz Alefeld (Fakultat Fur Mathematik, Universitat Karlsruhe, Germany)
SKU: 9780120498208
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Introduction to Interval Computation Summary

Introduction to Interval Computation by Gotz Alefeld (Fakultat Fur Mathematik, Universitat Karlsruhe, Germany)

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.

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.

Additional information

Sku

NPB9780120498208

ISBN 13

9780120498208

ISBN 10

0120498200

Title

Introduction to Interval Computation by Gotz Alefeld (Fakultat Fur Mathematik, Universitat Karlsruhe, Germany)

Author

Gotz Alefeld (Fakultat Fur Mathematik, Universitat Karlsruhe, Germany)

Condition

New

Binding type

Hardback

Publisher

Elsevier Science Publishing Co Inc

Year published

1984-01-16

Number of pages

352

Prizes

N/A

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Introduction to Interval Computation Gotz Alefeld (Fakultat Fur Mathematik, Universitat Karlsruhe, Germany)

Introduction to Interval Computation by Gotz Alefeld (Fakultat Fur Mathematik, Universitat Karlsruhe, Germany)

Introduction to Interval Computation Summary

Introduction to Interval Computation by Gotz Alefeld (Fakultat Fur Mathematik, Universitat Karlsruhe, Germany)

Table of Contents

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