Journal article
On semi-infinite systems of linear inequalities
Israel journal of mathematics, Vol.10(2), pp.252-258
06/1971
DOI: 10.1007/BF02771577
Abstract
The ordered fieldR(M) consists of the realsR with a transcendentalM adjoined, which is larger than any realr ∈R. Given any semi-infinite matrix (s.i.m.) interpreted as linear inequalities:u tPi≧c i, ∀ i ∈I, an arbitrary index set, it is also shown that the following are equivalent. (1) For every finiteJ ⊆I the systemu tPi≧c i,i ∈J is consistent, and (2) the s.i.m. has a solutionu ∈R(M) n. Some consequences for “duality gaps” are also given.
Details
- Title: Subtitle
- On semi-infinite systems of linear inequalities
- Creators
- R. G. Jeroslow - University of MinnesotaK. O. Kortanek - Carnegie Mellon University
- Resource Type
- Journal article
- Publication Details
- Israel journal of mathematics, Vol.10(2), pp.252-258
- DOI
- 10.1007/BF02771577
- ISSN
- 0021-2172
- eISSN
- 1565-8511
- Number of pages
- 7
- Language
- English
- Date published
- 06/1971
- Academic Unit
- Business Analytics
- Record Identifier
- 9984963223802771
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