Title Statements
- Full title :Introduction to interval computations / Götz Alefeld, Jürgen Herzberger ; translated by Jon Rokne.
Edition Statements
- Publication Date:1983.
Publication Statements
- Publisher(s):Academic Press
- Place of Publication:New York
- Language:eng
- Publication Date:1983.
Notes
Translation of: Einführung in die Intervallrechnung.
Includes indexes.
The Physical Object
- Description:xviii, 333 pages ; : 23 cm
Edition Identifiers
- ISBN:0120498200, 9780120498208
- oclc:ocm08389572
- LC Classification:QA297.75
- Dewey Decimal:519.4
Table of Contents
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 I(C) -- 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 iteration -- Relaxation methods -- 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 -- Iteration 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 conv…
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