Schoof's algorithm, efficient algorithm to count points on elliptic curves over finite fields
algorithm | RSA (algorithm) | Secure Hash Algorithm | Schönhage–Strassen algorithm | Luhn algorithm | Earley's Algorithm | Dijkstra's algorithm | CYK algorithm | Viterbi algorithm | Prim's algorithm | Levenberg–Marquardt algorithm | Kosaraju's algorithm | Yarrow algorithm | sorting algorithm | Root-finding algorithm | Kruskal's algorithm | Generic Security Service Algorithm for Secret Key Transaction | Digital Signature Algorithm | Cayley–Purser algorithm | Blahut–Arimoto algorithm | Bellman–Ford algorithm | Algorithm | Verhoeff algorithm | Vatti clipping algorithm | Sorting algorithm | Secure Hash Algorithm (disambiguation) | Schoof's algorithm | Schoof–Elkies–Atkin algorithm | root-finding algorithm | Rete algorithm |
S. Rao Kosaraju, Computer Science (1959-1964), Founder of the Kosaraju's algorithm, which finds the strongly connected components of a directed graph
On a sparse graph, Johnson's algorithm may be more efficient, taking Context of computational complexity
For example, Chan's algorithm can compute the convex hull of a set of points in O(n log h) time, where n is the number of points in the input and h is the number of points in the resulting convex hull, a subset of the input points.
Parser algorithms for context-free languages include the CYK algorithm and the Earley's Algorithm.
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Efficient polynomial-time algorithms for the membership problem are the CYK algorithm and Earley's Algorithm.
In the 1990s, Noam Elkies, followed by A. O. L. Atkin devised improvements to Schoof's basic algorithm by making a distinction among the primes that are used.
De Boor's algorithm, a fast and numerically stable algorithm for evaluating spline curves in B-spline form
It can then remove the writes to those variables from the loop, using a process called Loop-invariant code motion.
The process that underlies Dijkstra's algorithm is similar to the greedy process used in Prim's algorithm.
In contrast, for arbitrary graphs the shortest path may require slower algorithms such as Dijkstra's algorithm or the Bellman–Ford algorithm, and longest paths in arbitrary graphs are NP-hard to find.
The simplest algorithm to find an EMST in two dimensions, given n points, is to actually construct the complete graph on n vertices, which has n(n-1)/2 edges, compute each edge weight by finding the distance between each pair of points, and then run a standard minimum spanning tree algorithm (such as the version of Prim's algorithm or Kruskal's algorithm) on it.
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Since there are O(n) edges, this requires O(n log n) time using any of the standard minimum spanning tree algorithms such as Borůvka's algorithm, Prim's algorithm, or Kruskal's algorithm.
Certain algorithms require further restrictions on weights; for instance, Dijkstra's algorithm works properly only for positive weights.
Marko Petkovšek, Herbert Wilf and Doron Zeilberger, A = B, AK Peters 1996, ISBN 1-56881-063-6.
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Bill Gosper discovered this algorithm in the 1970s while working on the Macsyma computer algebra system at SAIL and MIT.
It can be further improved by Gabow's algorithm that runs in worst case time.
At the time he invented the algorithm, Narendra Karmarkar was employed by AT&T and they realized that his invention could be of practical importance.
Keith Marzullo is the inventor of Marzullo's algorithm, which is part of the basis of the Network Time Protocol and the Windows Time Service.
Kosaraju's algorithm, an algorithm to find the strongly connected component of a directed graph.
He is the originator of the Grover database search algorithm used in quantum computing.
It was proposed in 1972 by brothers Martin Newell and Dick Newell, and Tom Sancha, while all three were working at CADCentre.
17958 Schoof (1999 JE33), a Main-belt Asteroid discovered in 1999
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Schoof–Elkies–Atkin algorithm, extension of Schoof's algorithm by Noam Elkies and A. O. L. Atkin to improve its efficiency
On the television show Stargate Universe, the lead scientist, Dr. Nicholas Rush, hoped to use Shor's algorithm to crack Destinys master code.
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Shor's algorithm was also a correct answer to a question in a Physics Bowl competition in the episode "The Bat Jar Conjecture" of the TV series The Big Bang Theory.
# Compute dist(u), the shortest-path distance from root v to vertex u in G using Dijkstra's algorithm or Bellman–Ford algorithm.
While formal algorithms have existed for millennia (Euclid's algorithm for determining the greatest common divisor of two numbers is still used in computation), it was not until 1936 that Alan Turing, Alonzo Church and Stephen Kleene formalized the definition of an algorithm in terms of computation.
Therefore, the Euclidean shortest path problem may be decomposed into two simpler subproblems: constructing the visibility graph, and applying a shortest path algorithm such as Dijkstra's algorithm to the graph.