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.
Chapter
Chapter 1. Real Interval Arithmetic
pp.：
20 – 29
Chapter 2. Further Concepts and Properties
pp.：
29 – 39
Chapter 3. Interval Evaluation and Range of Real Functions
pp.：
39 – 58
Chapter 4. Machine Interval Arithmetic
pp.：
58 – 69
Chapter 5. Complex Interval Arithmetic
pp.：
69 – 78
Chapter 6. Metric, Absolute Value, and Width in I(¢)
pp.：
78 – 86
Chapter 7. Inclusion of Zeros of a Function of One Real Variable
pp.：
86 – 120
Chapter 8. Methods for the Simultaneous Inclusion of Real Zeros of Polynomials
pp.：
120 – 132
Chapter 9. Methods for the Simultaneous Inclusion of Complex Zeros of Polynomials
pp.：
132 – 139
Chapter 10. Interval Matrix Operations
pp.：
139 – 150
Chapter 11. Fixed Point Iteration for Nonlinear Systems of Equations
pp.：
150 – 162
Chapter 12. Systems of Linear Equations Amenable to Iteration
pp.：
162 – 179
Chapter 13. Relaxation Methods
pp.：
179 – 186
Chapter 14. Optimality of the Symmetric Single Step Method with Taking Intersection after Every Component
pp.：
186 – 198
Chapter 15. On the Feasibility of the Gaussian Algorithm for Systems of Equations with Intervals as Coefficients
pp.：
198 – 211
Chapter 16. Hansen's Method
pp.：
211 – 219
Chapter 17. The Procedure of Kupermann and Hansen
pp.：
219 – 223
Chapter 18. Iteration Methods for the Inclusion of the Inverse Matrix and for Triangular Decompositions
pp.：
223 – 241
Chapter 19. Newton-like Methods for Nonlinear Systems of Equations
pp.：
241 – 274
Chapter 20. Newton-like Methods without Matrix Inversions
pp.：
274 – 280
Chapter 21. Newton-like Methods for Particular Systems of Nonlinear Equations
pp.：
280 – 293
Chapter 22. Newton-like Total Step and Single Step Methods
pp.：
293 – 302
Appendix A: The Order of Convergence of Iteration Methodsin Vn(I(¢) and Mmn(I /¢))
pp.：
302 – 307
Appendix B: Realizations of Machine Interval Arithmetics in ALGOL 60
pp.：
307 – 315
Appendix C: ALGOL Procedures
pp.：
315 – 328
Bibliography
pp.：
328 – 348
Index of Notation
pp.：
348 – 350
Subject Index
pp.：
350 – 353
Introduction to Interval Computation
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