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

and objective are represented by linear relationships. Linear programming is a special case of mathematical programming (also known as mathematical optimization)...

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

integer linear programming (ILP), in which the objective function and the constraints (other than the integer constraints) are linear. Integer programming is...

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

in a diverse range of SQP methods. Sequential linear programming Sequential linear-quadratic programming Augmented Lagrangian method SQP methods have been...

Linear stationary iterative methods are also called relaxation methods. Krylov subspace methods work by forming a basis of the sequence of successive...

4  Linear programming problems are the simplest convex programs. In LP, the objective and constraint functions are all linear. Quadratic programming are...

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

Other nonlinear programming algorithms: Sequential quadratic programming Successive linear programming Sequential linear-quadratic programming Interior point...

Sequential linear-quadratic programming (SLQP) is an iterative method for nonlinear optimization problems where objective function and constraints are...

by solving a non-integer linear program, the linear relaxation of the given integer program. The theory of Linear Programming dictates that under mild...

optimization. A considerable amount of it is unified by the theory of linear programming. Some examples of combinatorial optimization problems that are covered...

logistics. This usage is the same as that in the phrases linear programming and mathematical programming, a synonym for mathematical optimization. The above...

difference from dynamic programming, which is exhaustive and is guaranteed to find the solution. After every stage, dynamic programming makes decisions based...

independently proposed a similar method in 1907. Its convergence properties for non-linear optimization problems were first studied by Haskell Curry in 1944, with...

the mid-1980s. In 1984, Narendra Karmarkar developed a method for linear programming called Karmarkar's algorithm, which runs in provably polynomial time...

vectors that represent the approximation implicitly. Due to its resulting linear memory requirement, the L-BFGS method is particularly well suited for optimization...

commercial optimization solver for linear programming (LP), mixed integer linear programming (MILP), convex quadratic programming (QP), convex quadratically constrained...

need two function evaluations per iteration. Therefore, the method has linear convergence with rate 0.5 ≈ 0.71 {\displaystyle {\sqrt {0.5}}\approx 0.71}...

mathematical programming problem (a term not directly related to computer programming, but still in use for example in linear programming – see History...

optimization problems. Sequential quadratic programming Sequential linear programming Sequential linear-quadratic programming Open source and non-free/commercial...

In operations research, the Big M method is a method of solving linear programming problems using the simplex algorithm. The Big M method extends the simplex...

on graphs, matroids and other discrete structures integer programming constraint programming These branches are all closely intertwined however, since...

of combinatorial optimization for solving integer linear programs (ILPs), that is, linear programming (LP) problems where some or all the unknowns are...

methods or row-action methods. These methods solve convex programming problems with linear constraints. They are iterative methods where each step projects...

1016/0004-3702(84)90004-3. LiPS – Free easy-to-use GUI program intended for solving linear, integer and goal programming problems. Cbc – (Coin-or branch and cut) is...

convex problems by hill-climbing include the simplex algorithm for linear programming and binary search.: 253  To attempt to avoid getting stuck in local...

of the hard constraints are linear and some hard constraints are inequalities, then the problem is a linear programming problem. This can be solved by...

Coordinate descent is an optimization algorithm that successively minimizes along coordinate directions to find the minimum of a function. At each iteration...