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Titlebook: Linear Programming; Foundations and Exte Robert J. Vanderbei Book Apr 20142nd edition Robert J. Vanderbei 2001 Simplex method.algorithms.co

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Robert J. Vanderbeiroups is used to prove the absence of nilpotents in certain Hopf algebras. The ring-theoretic work on faithful flatness in Part IV turns out to give the true ex978-1-4612-6219-0978-1-4612-6217-6Series ISSN 0072-5285 Series E-ISSN 2197-5612
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The Simplex Method in Matrix NotationSo far, we have avoided using matrix notation to present linear programming problems and the simplex method. In this chapter, we shall recast everything into matrix notation. At the same time, we will emphasize the close relations between the primal and the dual problems.
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Implementation IssuesIn the previous chapter, we rewrote the simplex method using matrix notation. This is the first step toward our aim of describing the simplex method as one would implement it as a computer program. In this chapter, we shall continue in this direction by addressing some important implementation issues.
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RegressionIn this chapter, we shall study an application of linear programming to an area of statistics called regression. As a specific example, we shall use size and iteration-count data collected from a standard suite of linear programming problems to derive a regression estimate of the number of iterations needed to solve problems of a given size.
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ApplicationsIn this chapter, we discuss briefly the most important applications of network flow problems.
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