Introduction to Interval Computation
- 1st Edition - November 28, 1983
- Authors: Gotz Alefeld, Jurgen Herzberger
- Language: English
- Hardback ISBN:9 7 8 - 0 - 1 2 - 0 4 9 8 2 0 - 8
- Paperback ISBN:9 7 8 - 0 - 1 2 - 3 9 5 9 3 8 - 6
- eBook ISBN:9 7 8 - 0 - 0 8 - 0 9 1 6 3 6 - 1
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… Read more
Purchase options
Institutional subscription on ScienceDirect
Request a sales quoteThis 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.
Students and Mathematicians.
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.
- No. of pages: 352
- Language: English
- Edition: 1
- Published: November 28, 1983
- Imprint: Academic Press
- Hardback ISBN: 9780120498208
- Paperback ISBN: 9780123959386
- eBook ISBN: 9780080916361
GA
Gotz Alefeld
Affiliations and expertise
Fakultat Fur Mathematik, Universitat Karlsruhe, GermanyJH
Jurgen Herzberger
Affiliations and expertise
Fakultat Fur Mathematik, Universitat Oldenburg, GermanyRead Introduction to Interval Computation on ScienceDirect