Boolean models and simultaneous inequalities
Journal: Владикавказский математический журнал @vmj-ru
Article in issue: 3 т.11, 2009.
Free access
Boolean valued analysis is applied to deriving operator versions of the classical Farkas Lemma in the theory of simultaneous linear inequalities.
farkas lemma
\ theorem of the alternative
\ interval equations
Similar articles in the section Analysis
Short address: https://sciup.org/14318280
IDS: 14318280 | UDC: 517.983.27:517.972.8
Булевозначные модели и система неравенств
В данной работе применен булевозначный нормативный анализ для получения операторных версий классической леммы Фаркаша в теории систем линейных неравенств.
References Boolean models and simultaneous inequalities
- Floudas C. A., Pardalos P. M. (eds.) Encyclopedia of Optimization.-Berlin etc.: Springer, 2009.-4626 p.
- Kusraev A. G., Kutateladze S. S. Introduction to Boolean Valued Analysis.-Moscow: Nauka, 2005.-526 p.
- Kusraev A. G., Kutateladze S. S. Subdifferential Calculus: Theory and Applications.-Moscow: Nauka, 2007.-560 p.
- Scott D. Boolean Models and Nonstandard Analysis//In: Luxemburg W. (ed.) Applications of Model Theory to Algebra, Analysis, and Probability.-N. Y.: Holt, Rinehart, and Winston, 1969.-P. 87-92.
- Takeuti G. Two Applications of Logic to Mathematics.-Tokyo; Princeton: Iwanami and Princeton Univ. Press, 1978.-137 p.
- Fiedler M. (eds.) Linear Optimization Problems with Inexact Data.-N. Y.: Springer, 2006.-214 p.
- Mangasarian O. L. Set containment characterization//J. Glob. Optim.-2002.-Vol. 24, № 4.-P. 473-480.