Parametric interval linear solver

被引:15
|
作者
Popova, ED [1 ]
机构
[1] Bulgarian Acad Sci, Inst Math & Informat, BU-1113 Sofia, Bulgaria
关键词
parametric linear systems; validated interval software;
D O I
10.1023/B:NUMA.0000049480.57066.fa
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Interval Computations 'Linear Systems' is a Mathematica package supporting tools for solving parametric and nonparametric linear systems involving uncertainties. It includes a variety of functions, implementing different interval techniques, that help in producing sharp and rigorous results in validated interval arithmetic. The package is designed to be easy to use, versatile, to provide a necessary background for further exploration, comparisons and prototyping, and to provide some indispensable tools for solving parametric interval linear systems. This paper presents the functionality, provided by the current version of the package, and briefly discusses the underlying methodology. A new hybrid approach for sharp parametric enclosures, that combines parametric residual iteration, exact bounds, based on monotonicity properties, and refinement by interval subdivision, is outlined.
引用
收藏
页码:345 / 356
页数:12
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