In mathematics, nonlinear programming (NLP) is the process of solving an optimization problem where some of the constraints are not linear equalities...

intuition is made formal by the equations in Linear programming: Duality. In nonlinear programming, the constraints are not necessarily linear. Nonetheless...

linear constraints on the variables. Quadratic programming is a type of nonlinear programming. "Programming" in this context refers to a formal procedure...

optimizer) a software package for linear programming, integer programming, nonlinear programming, stochastic programming, and global optimization. The "What's...

some of the constraints are nonlinear, and some constraints are inequalities, then the problem is a nonlinear programming problem. If all the hard constraints...

among them: Linear programming Quadratic programming Nonlinear programming Mixed-integer programming Mixed-integer quadratic programming with or without...

Linear programming is a special case of mathematical programming (also known as mathematical optimization). More formally, linear programming is a technique...

The Lagrange multiplier method has several generalizations. In nonlinear programming there are several multiplier rules, e.g. the Carathéodory–John Multiplier...

(sometimes called first-order necessary conditions) for a solution in nonlinear programming to be optimal, provided that some regularity conditions are satisfied...

computable general equilibrium models for the entire economy. Linear and nonlinear programming have profoundly affected microeconomics, which had earlier considered...

optimization, fractional programming is a generalization of linear-fractional programming. The objective function in a fractional program is a ratio of two functions...

Nonlinear programming — the most general optimization problem in the usual framework Special cases of nonlinear programming: See Linear programming and...

Betts, J. T. (2010). Practical Methods for Optimal Control Using Nonlinear Programming (2nd ed.). Philadelphia, Pennsylvania: SIAM Press. ISBN 978-0-89871-688-7...

Semidefinite programming (SDP) is a subfield of mathematical programming concerned with the optimization of a linear objective function (a user-specified...

linear-fractional programming (LFP) is a generalization of linear programming (LP). Whereas the objective function in a linear program is a linear function...

Sequential quadratic programming (SQP) is an iterative method for constrained nonlinear optimization, also known as Lagrange-Newton method. SQP methods...

3.14(a) in Bertsekas (page 636): Bertsekas, Dimitri P. (1999). Nonlinear Programming (Second ed.). Cambridge, MA.: Athena Scientific. ISBN 1-886529-00-0...

Successive Linear Programming (SLP), also known as Sequential Linear Programming, is an optimization technique for approximately solving nonlinear optimization...

large-scale nonlinear programming (NLP), optimization of differential algebraic equations (DAEs), mixed-integer nonlinear programming (MINLP), global...

a nonlinear system (or a non-linear system) is a system in which the change of the output is not proportional to the change of the input. Nonlinear problems...

(1987). "Some NP-complete problems in quadratic and nonlinear programming". Mathematical Programming. 39 (2): 117–129. doi:10.1007/BF02592948. hdl:2027...

convex programming. Fractional programming studies optimization of ratios of two nonlinear functions. The special class of concave fractional programs can...

stochastic programming methods have been developed: Scenario-based methods including Sample Average Approximation Stochastic integer programming for problems...

the interior point method. In some cases (such as when solving nonlinear programming problems with a sequential QCQP approach) these local solutions...

optimization, including both Gradient-Based Nonlinear programming and Genetic Algorithm based stochastic programming. These two approaches can also be combined...

optimum of the benchmark problems considered. This bias was because of a programming error, and has now been fixed. Initialization of velocities may require...

Optimizer) is a software package for linear programming, integer programming, nonlinear programming, stochastic programming and global optimization. LINGO is a...

(BFGS) algorithm is an iterative method for solving unconstrained nonlinear optimization problems. Like the related Davidon–Fletcher–Powell method...

,x_{t}} , are optimal solutions. Bertsekas, Dimitri P. (1995). Nonlinear Programming (1st ed.). Belmont, Massachusetts: Athena Scientific. p. Proposition...

contributions are through peer-reviewed articles on mixed-integer nonlinear programming, heat integration, production scheduling, among others. John M....