Please use this identifier to cite or link to this item: https://doi.org/10.15480/882.306
Fulltext available Open Access
Title: Solution of linear and nonlinear algebraic problems with sharp, guaranteed bounds
Language: English
Authors: Rump, Siegfried M. 
Issue Date: 1984
Source: Computing (1984) Suppl. 5, 147-68
Abstract (english): In this paper new methods for solving algebraic problems with high accuracy are described. They deliver bounds for the solution of the given problem with an automatic verification of the correctness. Examples of such problems are systems of linear equations, algebraic eigenvalue problems, nonlinear systems, polynomial zeros, evaluation of arithmetic expressions, linear, quadratic and convex programming and others. The new methods apply for these problems over the space of real numbers, complex numbers as well as real intervals and complex intervals.
URI: http://tubdok.tub.tuhh.de/handle/11420/308
DOI: 10.15480/882.306
Institute: Zuverlässiges Rechnen E-19 
Type: (wissenschaftlicher) Artikel
License: http://doku.b.tu-harburg.de/doku/lic_ohne_pod.php
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