A Normal Form Supplement to the Oettli-Prager Theorem. Dedicated to Prof. Dr. Gerhard Heindl on the Occasion of his Retirement

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F05%3A00405466" target="_blank" >RIV/67985807:_____/05:00405466 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
A Normal Form Supplement to the Oettli-Prager Theorem. Dedicated to Prof. Dr. Gerhard Heindl on the Occasion of his Retirement
Original language description
It is proved that each element of the solution set of a system of interval linear equations is a solution of a system $Ax=b$ in certain "normal form": in each equation of $Ax=b$ every coefficient, with exception of at most one, is equal either to the lower or to the upper bound on it. Even more, the distribution of the lower and upper bounds in $A$ follows a specific pattern.
Czech name
Normální forma Oettli-Pragerovy věty. Věnováno Prof. G. Heindlovi u příležitosti jeho odchodu do důchodu
Czech description
Je ukázáno, že každé řešení Oettli-Pragerovy nerovnosti je řešením soustavy $Ax=b$ v jisté "normální formě".

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/GA201%2F01%2F0343" target="_blank" >GA201/01/0343: Linear optimization problems with inexact data</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2005
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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