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General Form of a Nonlinear Program

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We have not stated the nonnegativity constraints separately. However, a nonnegativity constraint can be included in the functional constraints if needed.

The ability to solve a nonlinear program depends on the type of objective function and constraints . A class of more easily solved nonlinear programs called convex programs is discussed in Chapters 14 and 15. Also, Chapter 3 shows how certain piece‐wise linear convex programs can be converted into linear programs, which is useful because convex programs are somewhat harder to solve than linear programs.

Linear and Convex Optimization

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