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An Introduction to Linear Programming (Ax = b, x вЂљ 0) then we call x a feasible solution to the canonical Linear Programming problem; if further x minimizes the linear function cTx, then x is called an optimal solution to the canonical Linear Programming problem. We discuss some pathological cases. Consider the following canonical Linear Programming problems. 4. 1. The constraints are x1 Linear Programming: Foundations and Extensions is an introduction to the field of optimization. The book emphasizes constrained optimization, beginning with a substantial treatment of linear programming, and proceeding to convex analysis, network flows, integer programming, quadratic programming, and convex optimization. The book is carefully written.

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