optimization, the criss-cross algorithm is any of a family of algorithms for linear programming. Variants of the criss-cross algorithm also solve more general...
24 KB (2,432 words) - 12:52, 23 February 2025
crossings can be colloquially referred to "criss-crosses" Criss-cross algorithm, a basis-exchange pivoting algorithm for linear programming (and more general...
2 KB (276 words) - 02:49, 1 November 2024
simplex algorithm or by the criss-cross algorithm. Pivoting rule of Bland, which avoids cycling Criss-cross algorithm Cutting-plane method Devex algorithm Fourier–Motzkin...
42 KB (6,259 words) - 09:51, 20 April 2025
Linear programming (redirect from Algorithms for linear programming)
simplex algorithm of Dantzig, the criss-cross algorithm is a basis-exchange algorithm that pivots between bases. However, the criss-cross algorithm need...
61 KB (6,690 words) - 14:36, 28 February 2025
Bland's rule (redirect from Bland's Algorithm)
oriented matroids" by Jack Edmonds. Another pivoting rule, the criss-cross algorithm, avoids cycles on all oriented-matroid linear-programs. Bland (1977)...
5 KB (660 words) - 23:20, 9 February 2025
In numerical optimization, the Broyden–Fletcher–Goldfarb–Shanno (BFGS) algorithm is an iterative method for solving unconstrained nonlinear optimization...
18 KB (2,987 words) - 11:19, 1 February 2025
Klee–Minty cube (category Analysis of algorithms)
the simplex algorithm and the criss-cross algorithm visit all 8 corners in the worst case. In particular, many optimization algorithms for linear optimization...
15 KB (1,613 words) - 17:17, 14 March 2025
Nelder–Mead method (redirect from Nelder-Mead algorithm)
shrink the simplex towards a better point. An intuitive explanation of the algorithm from "Numerical Recipes": The downhill simplex method now takes a series...
17 KB (2,379 words) - 16:52, 25 April 2025
can be solved also by the criss-cross algorithm, conversely, for linear complementarity problems, the criss-cross algorithm terminates finitely only if...
13 KB (1,753 words) - 14:39, 5 April 2024
Branch and bound (redirect from Branch-and-bound algorithm)
an algorithm design paradigm for discrete and combinatorial optimization problems, as well as mathematical optimization. A branch-and-bound algorithm consists...
20 KB (2,432 words) - 04:50, 9 April 2025
In mathematics and computing, the Levenberg–Marquardt algorithm (LMA or just LM), also known as the damped least-squares (DLS) method, is used to solve...
22 KB (3,211 words) - 07:50, 26 April 2024
In computer science, the Edmonds–Karp algorithm is an implementation of the Ford–Fulkerson method for computing the maximum flow in a flow network in...
9 KB (1,121 words) - 07:46, 4 April 2025
A greedy algorithm is any algorithm that follows the problem-solving heuristic of making the locally optimal choice at each stage. In many problems, a...
17 KB (1,918 words) - 15:30, 5 March 2025
Big M method (section Algorithm)
linear programming problems using the simplex algorithm. The Big M method extends the simplex algorithm to problems that contain "greater-than" constraints...
6 KB (869 words) - 10:29, 20 April 2025
method or quasi-Newton methods like the Broyden–Fletcher–Goldfarb–Shanno algorithm. The approach has been applied to solve a wide range of problems, including...
21 KB (2,323 words) - 01:42, 23 April 2025
Newton's method (redirect from Newton-Raphson Algorithm)
method, named after Isaac Newton and Joseph Raphson, is a root-finding algorithm which produces successively better approximations to the roots (or zeroes)...
70 KB (8,869 words) - 16:05, 13 April 2025
Metaheuristic (redirect from Meta-algorithm)
designed to find, generate, tune, or select a heuristic (partial search algorithm) that may provide a sufficiently good solution to an optimization problem...
48 KB (4,643 words) - 05:20, 15 April 2025
Integer programming (redirect from Lenstra's algorithm)
Branch and bound algorithms have a number of advantages over algorithms that only use cutting planes. One advantage is that the algorithms can be terminated...
30 KB (4,192 words) - 17:10, 14 April 2025
computer science and operations research, the bees algorithm is a population-based search algorithm which was developed by Pham, Ghanbarzadeh et al. in...
15 KB (1,954 words) - 17:13, 11 April 2025
The Frank–Wolfe algorithm is an iterative first-order optimization algorithm for constrained convex optimization. Also known as the conditional gradient...
8 KB (1,200 words) - 19:37, 11 July 2024
Limited-memory BFGS (category Optimization algorithms and methods)
is an optimization algorithm in the family of quasi-Newton methods that approximates the Broyden–Fletcher–Goldfarb–Shanno algorithm (BFGS) using a limited...
16 KB (2,378 words) - 08:37, 13 December 2024
computer science and operations research, approximation algorithms are efficient algorithms that find approximate solutions to optimization problems...
23 KB (3,126 words) - 12:31, 25 April 2025
Sequential quadratic programming (category Optimization algorithms and methods)
h(x_{k})^{T}d\geq 0\\&g(x_{k})+\nabla g(x_{k})^{T}d=0.\end{array}}} The SQP algorithm starts from the initial iterate ( x 0 , λ 0 , σ 0 ) {\displaystyle (x_{0}...
9 KB (1,477 words) - 05:40, 28 April 2025
Hill climbing (redirect from Hill-climbing algorithm)
technique which belongs to the family of local search. It is an iterative algorithm that starts with an arbitrary solution to a problem, then attempts to...
12 KB (1,549 words) - 17:46, 15 November 2024
computer science and operations research, the ant colony optimization algorithm (ACO) is a probabilistic technique for solving computational problems...
77 KB (9,487 words) - 03:42, 15 April 2025
Iterative method (redirect from Iterative algorithm)
hill climbing, Newton's method, or quasi-Newton methods like BFGS, is an algorithm of an iterative method or a method of successive approximation. An iterative...
11 KB (1,546 words) - 15:43, 10 January 2025
science and operations research, the artificial bee colony algorithm (ABC) is an optimization algorithm based on the intelligent foraging behaviour of honey...
8 KB (1,293 words) - 18:23, 6 January 2023
Combinatorial optimization (redirect from Combinatorial optimization algorithms)
tractable, and so specialized algorithms that quickly rule out large parts of the search space or approximation algorithms must be resorted to instead....
18 KB (1,847 words) - 03:45, 24 March 2025
Dinic's algorithm or Dinitz's algorithm is a strongly polynomial algorithm for computing the maximum flow in a flow network, conceived in 1970 by Israeli...
12 KB (1,693 words) - 17:06, 20 November 2024
Mathematical optimization (redirect from Optimization algorithm)
of the simplex algorithm that are especially suited for network optimization Combinatorial algorithms Quantum optimization algorithms The iterative methods...
53 KB (6,175 words) - 20:23, 20 April 2025