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Systems of linear inequalities / A.S. Solodovnikov ; translated and adapted from the Russian edition by Lawrence M. Glasser and Thomas P. Branson.

Chicago : University of Chicago Press, 1980.
ISBN 0226767868, 0022676788, 9780226767864

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Standard Title Sistemy lineĭnykh neravenstv. English
Subjects Inequalities (Mathematics)
Inégalités (Mathématiques)
Series Popular lectures in mathematics.
Survey of recent East European mathematical literature.
Description viii, 81 pages : illustrations ; 23 cm.
Copyright Date 1980.
Notes Translation of Sistemy lineĭnykh neravenstv.
Includes bibliographical references.
Summary This volume describes the relationship between systems of linear inequalities and the geometry of convex polygons, examines solution sets for systems of linear inequalities in two and three unknowns (extension of the processes introduced to systems in any number of unknowns is quite simple), and examines questions of the consistency or inconsistency of such systems. Finally, it discusses the field of linear programming, one of the principal applications of the theory of systems of linear inequalities. A proof of the duality theorem of linear programming is presented in the last section. --Back cover.
Contents Several facts from analytic geometry -- Geometric interpretation of a system of linear inequalities in two and three unknowns -- The convex hull of a point set -- Convex polyhedral cones -- The solution domain of a system of inequalities in two unknowns -- The solution domain of a system in three unknowns -- Systems of linear inequalities in a arbitrary number of unknowns -- Inconsistent systems -- Dual convex polyhedral cones -- The duality theorem of linear programming.
Network Numbers (OCoLC)5126287
WorldCat Search OCLC WorldCat
WorldCat Identities Solodovnikov, A. S.
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