Introduction to Interval Computation

Name: Introduction to Interval Computation
Price: 88.88 USD
Availability: InStock
ISBN: 9780120498208

ISBN-10: 0120498200

ISBN-13: 9780120498208

Edition: 1983

Authors: Gotz Alefeld, Jurgen Herzberger, Jon Rockne

List price: $72.95

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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.

Book details

List price: $72.95
Copyright year: 1983
Publisher: Elsevier Science & Technology
Publication date: 1/16/1984
Binding: Hardcover
Pages: 352
Size: 5.94" wide x 9.00" long x 0.75" tall
Weight: 1.364
Language: English



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



The Order of Convergence of Iteration Methods in vn(Ic) and Mmn(iC) )



Realizations of Machine Interval Arithmetics in ALGOL 60



ALGOL Procedures


Bibliography


Index of Notation


Subject Index