On the fixed points of the interval function [f]([x])=[A][x]+[b]
| Autor: | Günter Mayer, Ingo Warnke |
|---|---|
| Rok vydání: | 2003 |
| Předmět: |
Discrete mathematics
Numerical Analysis Algebra and Number Theory Solution set Solution of interval linear systems Fixed point Interval function Fixed point equation Fixed points Existence and uniqueness of fixed points Discrete Mathematics and Combinatorics Geometry and Topology Uniqueness Shape of interval fixed points Mathematics |
| Zdroj: | Linear Algebra and its Applications. 363:201-216 |
| ISSN: | 0024-3795 |
| DOI: | 10.1016/s0024-3795(02)00254-9 |
| Popis: | For the interval function [f]: I ( R n )→ I ( R n ) defined by [f]([x])=[A][x]+[b],|[A]| irreducible with ρ(|[A]|)⩾1, we derive necessary and sufficient criteria for the existence and uniqueness of fixed points [x]*. In addition, we show how [x]* can be represented by means of the input data [A] and [b]. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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