Introduction to interval computations

Content: 
COMPUTER SCIENCE AND APPLIED MATHEMATICS: A Series of Monographs and Textbooks, Page ii
Front Matter, Page iii
Copyright, Page iv
Dedication, Page v
PREFACE TO THE ENGLISH EDITION, Pages xi-xii
PREFACE TO THE GERMAN EDITION, Pages xiii-xviii
Chapter 1 - REAL INTERVAL ARITHMETIC, Pages 1-9
Chapter 2 - FURTHER CONCEPTS AND PROPERTIES, Pages 10-19
Chapter 3 - INTERVAL EVALUATION AND RANGE OF REAL FUNCTIONS, Pages 20-38
Chapter 4 - MACHINE INTERVAL ARITHMETIC, Pages 39-49
Chapter 5 - COMPLEX INTERVAL ARITHMETIC, Pages 50-58
Chapter 6 - METRIC, ABSOLUTE VALUE, AND WIDTH IN I(ℂ), Pages 59-66
Chapter 7 - INCLUSION OF ZEROS OF A FUNCTION OF ONE REAL VARIABLE, Pages 67-100
Chapter 8 - METHODS FOR THE SIMULTANEOUS INCLUSION OF REAL ZEROS OF POLYNOMIALS, Pages 101-112
Chapter 9 - METHODS FOR THE SIMULTANEOUS INCLUSION OF COMPLEX ZEROS OF POLYNOMIALS, Pages 113-119
Chapter 10 - INTERVAL MATRIX OPERATIONS, Pages 120-130
Chapter 11 - FIXED POINT ITERATION FOR NONLINEAR SYSTEMS OF EQUATIONS, Pages 131-142
Chapter 12 - SYSTEMS OF LINEAR EQUATIONS AMENABLE TO ITERATION, Pages 143-159
Chapter 13 - RELAXATION METHODS, Pages 160-166
Chapter 14 - OPTIMALITY OF THE SYMMETRIC SINGLE STEP METHOD WITH TAKING INTERSECTION AFTER EVERY COMPONENT, Pages 167-178
Chapter 15 - ON THE FEASIBILITY OF THE GAUSSIAN ALGORITHM FOR SYSTEMS OF EQUATIONS WITH INTERVALS AS COEFFICIENTS, Pages 179-191
Chapter 16 - HANSEN\'S METHOD, Pages 192-199
Chapter 17 - THE PROCEDURE OF KUPERMANN AND HANSEN, Pages 200-203
Chapter 18 - ITERATION METHODS FOR THE INCLUSION OF THE INVERSE MATRIX AND FOR TRIANGULAR DECOMPOSITIONS, Pages 204-221
Chapter 19 - NEWTON-LIKE METHODS FOR NONLINEAR SYSTEMS OF EQUATIONS, Pages 222-254
Chapter 20 - NEWTON-LIKE METHODS WITHOUT MATRIX INVERSIONS, Pages 255-260
Chapter 21 - NEWTON-LIKE METHODS FOR PARTICULAR SYSTEMS OF NONLINEAR EQUATIONS, Pages 261-273
Chapter 22 - NEWTON-LIKE TOTAL STEP AND SINGLE STEP METHODS, Pages 274-282
Appendix A - THE ORDER OF CONVERGENCE OF ITERATION METHODS IN Vn(I(ℂ)) AND Mmn(I(ℂ)), Pages 283-287
Appendix B - REALIZATIONS OF MACHINE INTERVAL ARITHMETICS IN ALGOL 60, Pages 288-295
Appendix C - ALGOL PROCEDURES, Pages 296-308
BIBLIOGRAPHY, Pages 309-328
INDEX OF NOTATION, Pages 329-330
SUBJECT INDEX, Pages 331-333