The Solution Set of Interval Linear Equations is Homeomorphic to the Unit Cube: An Explicit Construction

Autoři: Jiří Rohn
Rok vydání: 2015
Typ publikace: Článek v odborném periodiku
Periodikum: Reliable Computing
Bibliografická citace: ROHN, Jiří. The Solution Set of Interval Linear Equations is Homeomorphic to the Unit Cube: An Explicit Construction. Reliable Computing. 2015, 21(November), 25-34. E-ISSN 1573-1340. Dostupné z: http://interval.louisiana.edu/reliable-computing-journal/volume-21/reliable-computing-21-pp-025-034.pdf
ID: 451072
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Abstrakt

It is proved that the solution set of a system of interval linear equations with a regular interval matrix and a thick right-hand side is homeomorphic to the unit cube, and an explicit homeomorphism is described.