Interval Mathematics 1980

Content: 
Inside Front Cover, Page ii
Front Matter, Page iii
Copyright, Page iv
Contributors, Pages ix-xi
Foreword, Pages xiii-xiv, R.E. Moore
Preface, Page xv
SET FUNCTIONS AND APPLICATIONS, Pages 1-24, N. Apostolatos, G. Karabatzos
GLOBAL CONSTRAINED OPTIMIZATION USING INTERVAL ANALYSIS, Pages 25-47, Eldon Hansen, Saumyendra Sengupta
A MODEL FOR THE PROPAGATION OF ROUNDING ERROR IN FLOATING ARITHMETIC, Pages 49-73, Peter Henrici
THE IMPORTANCE OF 3-VALUED NOTIONS FOR INTERVAL MATHEMATICS, Pages 75-98, Karl-Udo Jahn
INTERVAL ARITHMETIC OPTIONS IN THE PROPOSED IEEE FLOATING POINT ARITHMETIC STANDARD, Pages 99-128, William M. Kahan
INTERVAL COMPONENTS OF NONARCHIMEDEAN NUMBER SYSTEMS, Pages 129-143, Dieter Klaua
INTERVAL DIFFERENTIAL EQUATIONS, Pages 145-164, Svetoslav Markov
NEW RESULTS ON NONLINEAR SYSTEMS, Pages 165-180, Ramon E. Moore
OPTIMAL APPROXIMATIONS IN INTERVAL ANALYSIS, Pages 181-202, Helmut Ratschek
SOME TOPICS OF SEGMENT ANALYSIS, Pages 203-222, Bl. Sendov
ROUNDING ERROR IN GAUSSIAN ELIMINATION OF TRIDIAGONAL LINEAR SYSTEMS SURVEY OF RESULTS, Pages 223-245, Friedrich Stummel
ON SETS OF SOLUTIONS OF COLLECTIONS OF NONLINEAR SYSTEMS IN ℝn, Pages 247-256, Ernst Adams
ABOUT THE TRANSFORMATION OF INTERVAL PROGRAMS INTO CONVERGENT INTERVAL PROGRAMS, Pages 257-266, Fritz Bierbaum
SPECIFICATIONS FOR INTERVAL PROGRAMMING LANGUAGES, Pages 267-279, Guy Caplat, Louis Frécon
INTERVAL CONTRACTIONS FOR THE SOLUTION OF INTEGRAL EQUATIONS, Pages 281-290, Ole Caprani, Kaj Madsen
ROUNDING INVARIANT STRUCTURES BY APPLICATION OF A MAPPING OF A RINGOID IN AN ORDERED SET, Pages 291-300, Dalcidio Moraes Claudio
SIGLA-PL/1 DEVELOPMENT AND APPLICATIONS, Pages 301-315, Ernest Gardeñes, Albert Trepat, Josep M. Janer
TOTALLY NONNEGATIVE INTERVAL MATRICES, Pages 317-327, Jürgen Garloff
USING SCALAR AND VECTOR MAJORIZING EQUATIONS TO BOUND SOLUTION SETS OF NONLINEAR ALGEBRAIC EQUATION SYSTEMS, Pages 329-339, David M. Gay
APPLICATION OF INTERVAL ANALYSIS TO LINEAR PROBLEMS OF OPTIMAL CONTROL WITH QUADRATIC COST FUNCTIONAL, Pages 341-346, Tadeusz Giec
INTERPOLATION OF INTERVAL-VALUED FUNCTIONS WITH RESTRICTIONS, Pages 347-353, Siegfried W. Groß
A PROGRAMMING SYSTEM FOR INTERVAL ARITHMETIC IN ALGOL 68, Pages 355-366, Gabriele Guenther, Gerd Marquardt
EXTENDED CIRCULAR ARITHMETIC, PROBLEMS AND RESULTS, Pages 367-376, Manfred Hauenschild
LOCATING SAFE STARTING REGIONS FOR ITERATIVE METHODS: A HEURISTIC ALGORITHM, Pages 377-386, Sandie T. Jones
COMPARISON OF DIVERSE ITERATION METHODS FOR SETS, Pages 387-396, Rudolf Krawczyk
ON DISCRETE EQUATIONS, INEQUALITIES AND INTERVAL EVALUATIONS OF FIXED POINTS OF ISOTONE - ANTITONE MAPPINGS, Pages 397-406, Marian Kwapisz
EVALUATION OF COMPLEX LOGARITHMS AND RELATED FUNCTIONS WITH INTERVAL ARITHMETIC, Pages 407-415, George J. Miel
LINEAR TRANSFORMATIONS OF VECTOR SETS AND THEIR APPLICATIONS, Pages 417-432, Igor Najfeld
BOUNDING EIGENVECTORS OF A SYMMETRIC MATRIX, Pages 433-447, Karl Nickel
COMPUTING THE EXPONENTIAL OF AN ESSENTIALLY NONNEGATIVE MATRIX, Pages 449-452, Erich Nuding
CONVERGENT-OPTIMAL ROUNDINGS IN TOTALLY ORDERED SETS, Pages 453-460, Wilhelm Oberaigner
ON THE GENERALIZATION OF SOME ALGORITHMS FOR THE SIMULTANEOUS APPROXIMATION OF POLYNOMIAL ROOTS, Pages 461-471, Miodrag Petković
ON A REPRESENTATION OF THE K-TH ROOT IN COMPLEX CIRCULAR INTERVAL ARITHMETIC, Pages 473-479, Miodrag Petković, Ljiljana Petković, Miodrag Petković
A GENERALIZATION OF THE KRAWCZYK-MOORE ALGORITHM, Pages 481-488, Liqun Qi
OPTIMIZATION OF INTERVAL COMPUTATION, Pages 489-498, L.B. Rall
OPTIMALITY OF THE CENTERED FORM, Pages 499-508, Helmut Ratschek, Jon Rokne
INTERVAL POWER SERIES, Pages 509-519, Karl Reichmann
DUALITY IN INTERVAL LINEAR PROGRAMMING, Pages 521-529, Jiří Rohn
MEAN CONVERGENCE ENCLOSING OF SOLUTIONS OF OPERATOR EQUATIONS WITH CONVEX AND INVERSE MONOTONIC OPERATORS, Pages 531-538, W. Solak
DOMAINS WITH ALL SOLUTIONS OF NON-LINEAR PROBLEMS WITH NON-INVERSE-ISOTONIC OPERATORS, Pages 539-546, Peter Wildenauer
FLOATING POINT EXCEPTION HANDLING FOR INTERVAL ARITHMETIC, Pages 547-554, J.M. Yohe