Titlebook: Linear and Nonlinear Programming; David G. Luenberger,Yinyu Ye Textbook 20164th edition Springer International Publishing Switzerland 2016

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Introduction,tain degree of philosophical elegance that is hard to dispute, and it often offers an indispensable degree of operational simplicity. Using this optimization philosophy, one approaches a complex decision problem, involving the selection of values for a number of interrelated variables, by focusing a

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Duality and Complementaritye underlying cost and constraint coefficients but in such a way that if one of these problems is one of minimization the other is one of maximization, and the optimal values of the corresponding objective functions, if finite, are equal. The variables of the dual problem can be interpreted as prices

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Interior-Point Methodsous variables defined on a convex feasible region and with a continuous objective function. They are, therefore, a special case of the general form of problem considered in this text. However, linearity implies a certain degree of degeneracy, since for example the derivatives of all functions are co

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