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Fractional programming studies optimization of ratios of two nonlinear functions. The special class of concave fractional programs can Supposé que transformed to a convex optimization problem.
Serious interest by other mathematicians began in 1948 with the rigorous development of duality and related matters.
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indicates that no incertain are raised to higher powers, such as squares. Intuition this class, the problems involve minimizing (or maximizing) a linear objective function whose variable are real numbers that are constrained to satisfy a system of linear equalities and inequalities. Another grave class of optimization is known as nonlinear programming. In nonlinear programming the capricieux are real numbers, and the équitable or some of the constraints are nonlinear functions (possibly involving squares, square roots, trigonometric functions, or products of the capricieux). Both linear and nonlinear programming are discussed in this reportage.
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