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This is a list of algorithm general topics. Analysis of algorithms; ... Lock-free and wait-free algorithms; Monte Carlo algorithm; Numerical analysis; Online algorithm;
An algorithm is fundamentally a set of rules or defined procedures that is typically designed and used to solve a specific problem or a broad set of problems.. Broadly, algorithms define process(es), sets of rules, or methodologies that are to be followed in calculations, data processing, data mining, pattern recognition, automated reasoning or other problem-solving operations.
Cannon's algorithm — a distributed algorithm, especially suitable for processors laid out in a 2d grid; Freivalds' algorithm — a randomized algorithm for checking the result of a multiplication; Matrix decompositions: LU decomposition — lower triangular times upper triangular; QR decomposition — orthogonal matrix times triangular matrix
Computational complexity theory deals with how hard computations are, in quantitative terms, both with upper bounds (algorithms whose complexity in the worst cases, as use of computing resources, can be estimated), and from below (proofs that no procedure to carry out some task can be very fast).
The NIST Dictionary of Algorithms and Data Structures [1] is a reference work maintained by the U.S. National Institute of Standards and Technology. It defines a large number of terms relating to algorithms and data structures. For algorithms and data structures not necessarily mentioned here, see list of algorithms and list of data structures.
Euclidean algorithm; Coprime; Euclid's lemma; Bézout's identity, Bézout's lemma; Extended Euclidean algorithm; Table of divisors; Prime number, prime power. Bonse's inequality; Prime factor. Table of prime factors; Formula for primes; Factorization. RSA number; Fundamental theorem of arithmetic; Square-free. Square-free integer; Square-free ...
Flowchart of using successive subtractions to find the greatest common divisor of number r and s. In mathematics and computer science, an algorithm (/ ˈ æ l ɡ ə r ɪ ð əm / ⓘ) is a finite sequence of mathematically rigorous instructions, typically used to solve a class of specific problems or to perform a computation. [1]
Ant colony algorithm; Breadth-first search; Depth-first search; Depth-limited search; FKT algorithm; Flood fill; Graph exploration algorithm; Matching (graph theory) Max flow min cut theorem; Maximum-cardinality search; Shortest path. Dijkstra's algorithm; Bellman–Ford algorithm; A* algorithm; Floyd–Warshall algorithm; Topological sorting ...