مستخدم:Chaos/قائمة الخوارزميات

 الخوارزميات

See also the قائمة بنى البيانات, قائمة مواضيع الخوارزميات العامة and قائمة المصطلحات المتعلقة بالخوارزميات و بنى البيانات.

 خوارزميات توافقية Combinatorial algorithms

 الخوارزميات التوافقية العامة

• Floyd's cycle-finding algorithm: finds cycles in iterations
• (uniformly distributed) Pseudorandom number generators:
  • Blum Blum Shub
  • Mersenne twister
• Robinson-Schensted algorithm: generates permutations from pairs of Young tableaux

 خوازميات المخططات

مقالة رئيسية : نظرية المخططات

• Bellman-Ford algorithm: computes shortest paths in a weighted graph (where some of the edge weights may be negative)
• Dijkstra's algorithm: computes shortest paths in a graph with non-negative edge weights
• Floyd-Warshall algorithm: solves the all pairs shortest path problem in a weighted, directed graph
• Johnson algorithm: All pairs shortest path algorithm in sparse weighted directed graph
• Kruskal's algorithm: finds a minimum spanning tree for a graph
• Prim's algorithm: finds a minimum spanning tree for a graph
• Boruvka's algorithm: finds a minimum spanning tree for a graph
• Ford-Fulkerson algorithm: computes the maximum flow in a graph
• Edmonds-Karp algorithm: implementation of Ford-Fulkerson
• Nonblocking Minimal Spanning Switch say, for a telephone exchange
• Spring based algorithm: algorithm for graph drawing
• Topological sort
• Hungarian algorithm: algorithm for finding a perfect matching
• Coloring algorithm: Graph coloring algorithm.
• Nearest neighbour algorithm: Nearest neighbor algorithm

 خوارزميات البحث

• بحث خطي Linear search : إيجاد عنصر في قائمة غير مرتبة .
• خوارزمية الاختيار Selection algorithm : إيجاد أكبر (ثاني , ثالث , ...) عنصر في القائمة .
• Binary search algorithm: locates an item in a sorted list
• Binary search tree
• Breadth-first search: traverses a graph level by level
• Depth-first search: traverses a graph branch by branch
• Best-first search: traverses a graph in the order of likely importance using a priority queue
• A* tree search: special case of best-first search that uses heuristics to improve speed
• Uniform-cost search: a tree search that finds the lowest cost route where costs vary
• Predictive search: binary like search which factors in magnitude of search term versus the high and low values in the search. Sometimes called dictionary search or interpolated search.
• Hash table: finds an item in an unsorted collection in O(1) time.

 خوارزميات السلاسل النصية String algorithms

 البحث

• Aho-Corasick algorithm
• Bitap algorithm
• Boyer-Moore string search algorithm
• Knuth-Morris-Pratt algorithm
• Rabin-Karp string search algorithm
• Longest-common subsequence problem: Haskell's dynamic programming algorithm
• Longest increasing subsequence problem
• Shortest common supersequence problem
• longest common substring problem

 المطابقة مع الأقرب Approximate matching

• Levenshtein edit distance
• Needleman-Wunsch algorithm
• Smith-Waterman algorithm
• Soundex

 خوارزميات الترتيب

• Binary tree sort
• Bogosort
• Bubble sort: for each pair of indices, swap the items if out of order
• Bucket sort
• Comb sort
• Cocktail sort
• Counting sort
• Gnome sort
• Heapsort: convert the list into a heap, keep removing the largest element from the heap and adding it to the end of the list
• Insertion sort: determine where the current item belongs in the list of sorted ones, and insert it there
• Merge sort: sort the first and second half of the list separately, then merge the sorted lists
• Pancake sorting
• Pigeonhole sort
• Quicksort: divide list into two, with all items on the first list coming before all items on the second list.; then sort the two lists. Often the method of choice
• Radix sort: sorts strings letter by letter
• Selection sort: pick the smallest of the remaining elements, add it to the end of the sorted list
• Shell sort: an attempt to improve insertion sort
• Smoothsort
• Topological sort

 خوارزميات الدمج

• Simple Merge algorithm
• k-way Merge algorithm

 خوارزميات الضغط

 Lossless compression algorithms

• Burrows-Wheeler transform: preprocessing useful for improving lossless compression
• DEFLATE: lossless data compression
• Delta encoding: aid to compression of data in which sequential data occurs frequently
• Incremental encoding: delta encoding applied to sequences of strings
• LZW: lossless data compression (Lempel-Ziv-Welch)
• LZ77 (algorithm): LZ77 and LZ78 are the names for the two lossless data compression algorithms
• LZMA: short for Lempel-Ziv-Markov chain-Algorithm
• LZO: data compression algorithm that is focused on speed
• PPM compression algorithm
• Shannon-Fano coding
• Truncated binary encoding
• Run-length encoding: lossless data compression taking advantage of strings of repeated characters
• SEQUITUR algorithm: lossless compression by incremental grammar inference on a string
• EZW (Embedded Zerotree Wavelet)
• Entropy encoding: coding scheme that assigns codes to symbols so as to match code lengths with the probabilities of the symbols
  • Huffman coding: simple lossless compression taking advantage of relative character frequencies
    • Adaptive Huffman coding: adaptive coding technique based on Huffman coding
  • Arithmetic coding: advanced entropy coding
  • Range encoding: data compression method that is believed to approach the compression ratio of arithmetic coding
• Entropy coding with known entropy characteristics
  • Unary coding: code that represents a number n with n ones followed by a zero
  • Elias delta|gamma|omega coding: universal code encoding the positive integers
  • Fibonacci coding: universal code which encodes positive integers into binary code words
  • Golomb coding: form of entropy coding that is optimal for alphabets following geometric distributions
  • Rice coding: form of entropy coding that is optimal for alphabets following geometric distributions

 Lossy compression algorithms

• Linear predictive coding: lossy compression by representing the spectral envelope of a digital signal of speech in compressed form
• A-law algorithm: standard companding algorithm
• Mu-law algorithm: standard analog signal compression or companding algorithm
• Fractal compression: method used to compress images using fractals
• Transform coding: type of data compression for "natural" data like audio signals or photographic images
• Vector quantization: technique often used in lossy data compression
• Wavelet compression: form of data compression well suited for image compression (sometimes also video compression and audio compression)

 هندسة حاسوبية Computational geometry

• Gift wrapping algorithm: determining the convex hull of a set of points
• Gilbert-Johnson-Keerthi distance algorithm: determining the smallest distance between two convex shapes.
• Graham scan determining the convex hull of a set of points in the plane
• Point in polygon: tests whether a given point lies within a given polygon

 رسوميات حاسوبية

• Bresenham's line algorithm: plots points of a 2-dimensional array to form a straight line between 2 specified points (uses decision variables)
• Line drawing algorithm: graphical algorithm for approximating a line segment on discrete graphical media.
• DDA line algorithm: plots points of a 2-dimensional array to form a straight line between 2 specified points (uses floating-point math)
• Flood fill: fills a connected region of a multi-dimensional array with a specified symbol
• Xiaolin Wu's line algorithm: algorithm for line antialiasing.
• Painter's algorithm: detects visible parts of a 3-dimensional scenery
• Ray tracing: realistic image rendering
• Phong shading: an illumination model and an interpolation method in 3D computer graphics
• Gouraud shading: an algorithm to simulate the differing effects of light and colour across the surface of an object in 3D computer graphics
• Scanline rendering: constructs an image by moving an imaginary line over the image
• Global illumination algorithms: Considers direct illumination and reflection from other objects.
• Interpolation: Constructing new data points such as in digital zoom.
• Spline interpolation: Reduces error with Runge's phenomenon.

 رؤية حاسوبية Computer vision

• Epitome: represent an image or video by a smaller image or video.

 Cryptographic algorithms

(See also Topics in cryptography for an 'analytical glossary')

• Symmetric (secret key) encryption:
  • Advanced Encryption Standard (AES), winner of NIST competition
  • Blowfish
  • Data Encryption Standard (DES), sometimes DE Algorithm, winner of NBS selection competition, replaced by AES for most purposes
  • IDEA
  • RC4 (cipher)
• Asymmetric (public key) encryption:
  • DSA
  • ElGamal
  • RSA
  • Diffie-Hellman key exchange
  • NTRUEncrypt
• Cryptographic Message digest functions:
  • MD5 – Note that there is now a method of generating collisions for MD5
  • RIPEMD-160
  • SHA-1
  • HMAC: keyed-hash message authentication
  • Tiger (TTH), usually used in Tiger tree hashes
• Cryptographically secure pseudo-random number generators
  • Blum Blum Shub - based on the hardness of factorization
  • Yarrow algorithm
  • Fortuna, allegedly an improvement on Yarrow
• Other
  • Diffie-Hellman: key exchange

 معالجة الإشارات الرقمية Digital signal processing

• CORDIC: Fast trigonometric function computation technique.
• Rainflow-counting algorithm: Reduces a complex stress history to a count of elementary stress-reversals for use in fatigue analysis
• Osem: algorithm for processing of medical images
• Goertzel algorithm Can be used for DTMF digit decoding.
• Discrete Fourier transform: determines the frequencies contained in a (segment of a) signal
  • Fast Fourier transform
  • Cooley-Tukey FFT algorithm
  • Rader's FFT algorithm
  • Bluestein's FFT algorithm
  • Bruun's FFT algorithm
  • Prime-factor FFT algorithm
• Richardson-Lucy deconvolution: image de-blurring algorithm

 Distributed systems algorithms

• Lamport ordering: a partial ordering of events based on the happened-before relation
• Snapshot algorithm: a snapshot is the process of recording the global state of a system
• Vector clocks: a total ordering of events
• Marzullo's algorithm: distributed clock synchronization
• intersection algorithm: Another clock agreement algorithm.

 خوارزميات جينية

• Fitness proportionate selection: also known as roulette-wheel selection

 خوارزميات طبية

• Medical algorithm
• Texas Medication Algorithm Project

 Memory Allocation and deallocation algorithms

• Boehm garbage collector: Conservative garbage collector
• Buddy memory allocation: Algorithm to allocate memory such that fragmentation is less.
• Generational garbage collector: Fast garbage collectors that segregate memory by age
• Mark and sweep
• Reference counting

 شبكات عصبونية

• Backpropagation
• Self-organizing map

 جبر عددي Numerical algebra

• Buchberger's algorithm: finds a Gröbner basis
• Eigenvalue algorithm
• Exponentiating by squaring: quickly computes powers of numbers and matrices
• Gram-Schmidt process: orthogonalizes a set of vectors
• Knuth-Bendix completion algorithm: for rewriting rule systems
• Multivariate division algorithm: for polynomials in several indeterminates

 خوارزميات نظرية عددية

• خوارزمية متقطعة Discrete logarithm :
  • Baby-step giant-step
  • Pollard's rho algorithm for logarithms
  • Pohlig-Hellman algorithm
  • Index calculus algorithm
• Euclidean algorithm: computes the greatest common divisor
• Extended Euclidean algorithm: Also solves the equation ax+by = c.
• Binary gcd algorithm: طريقة فعالة لحساب gcd.
• Integer factorization: breaking an integer into its prime factors
  • prime factorization algorithm
  • Fermat's factorization method
  • Trial division
  • Lenstra elliptic curve factorization
  • Pollard's rho algorithm
  • Pollard's p-1 algorithm
  • Congruence of squares
  • Quadratic sieve
  • Dixon's algorithm
  • Special number field sieve
  • General number field sieve
• Multiplication algorithms: fast multiplication of two numbers
• Booth's multiplication algorithm
• Primality tests: determining whether a given number is prime
  • AKS primality test
  • Miller-Rabin primality test
  • Sieve of Eratosthenes
  • Sieve of Atkin

 خوارزميات عددية

See also main article numerical analysis and list of numerical analysis topics

• Dancing Links: finds all solutions to the exact cover problem
• De Boor algorithm: computes splines
• De Casteljau's algorithm: computes Bezier curves
• False position method: approximates roots of a function
• Gauss-Jordan elimination: solves systems of linear equations
• Gauss-Legendre algorithm: computes the digits of pi
• Kahan summation algorithm: a more accurate method of summing floating-point numbers
• MISER algorithm: Monte Carlo simulation, numerical integration
• Newton's method: finds zeros of functions with calculus
• Rounding functions: the classic ways to round numbers
• Secant method: approximates roots of a function
• Shifting nth-root algorithm: digit by digit root extraction
• Square root: approximates the square root of a number
• Strassen algorithm: faster matrix multiplication
• Symbolic Cholesky decomposition: Efficient way of storing sparse matrix
• Risch algorithm: Translates indefinite integral to algebraic problem

 خوارزميات أنظمة التشغيل

• Banker's algorithm: Algorithm used for deadlock avoidance.
• Page replacement algorithms: Selecting the victim page under low memory conditions.
• Bully algorithm: Selecting new leader among many computers.
• rsync: Algorithm used to transmit files efficiently between two computers.

Disk scheduling algorithms:

• Elevator algorithm: Disk scheduling algorithm that works like an elevator.
• shortest seek first: Disk scheduling algorithm to reduce seek time.

Process synchronisation algorithms:

• Peterson's algorithm
• Lamport's Bakery algorithm
• Dekker's algorithm

Scheduling algorithms

• Rate-monotonic scheduling
• Earliest deadline first scheduling
• Fair-share scheduling
• Round-robin scheduling
• Multi level feedback queue
• shortest job next
• shortest remaining time
• Least slack time scheduling
• List scheduling

 رياضيات الاستمثال

• Ant colony optimization
• BFGS method: A nonlinear optimization algorithm
• Branch and bound
• Chain matrix multiplication
• Conjugate gradient
• Differential evolution
• Evolution strategy
• Gauss-Newton algorithm: An algorithm for solving nonlinear least squares problems.
• Genetic algorithms
• Gradient descent
• Levenberg-Marquardt algorithm: An algorithm for solving nonlinear least squares problems.
• Line search
• Local search
• Nelder-Mead_method (downhill simplex method): A nonlinear optimization algorithm.
• Newton's method in optimization
• Particle swarm
• Random-restart hill climbing
• Simplex algorithm: An algorithm for solving the linear programming problem
• Simulated annealing
• Stochastic tunneling
• Subset sum algorithm
• Tabu search

 Parsing

• Recursive descent parser: A top-down parser suitable for LL(k) grammars
• LL parser: A relatively simple linear time parsing algorithm for a limited class of context-free grammars
• LR parser: A more complex linear time parsing algorithm for a larger class of context-free grammars. Variants:
  • Operator-precedence parser
  • SLR (Simple LR) parser
  • LALR (Look-ahead LR) parser
  • Canonical LR parser
• Packrat parser: A linear time parsing algorithm supporting some context-free grammars and parsing expression grammars
• CYK algorithm: An O(n³) algorithm for parsing any context-free grammar
• Earley's algorithm: Another O(n³) algorithm for parsing any context-free grammar
• GLR parser:An algorithm for parsing any context-free grammar from tomita. It is tuned for deterministic grammars, on which it performs almost linear time and O(n³) in worst case.

 خوارزميات كمومية

Application of quantum computation to various categories of problems and algorithms

• Grover's algorithm: provides quadratic speedup for many search problems
• Shor's algorithm: provides exponential speedup for factorizing a number
• Deutsch-Jozsa algorithm: criterion of balance for Boolean function

 هدسة البرمجيات

• Algorithms for Recovery and Isolation Exploiting Semantics: recovery
• Unicode Collation Algorithm
• CHS conversion: Converting between disk addressing systems
• Cyclic redundancy check: calculation of a check word
• Parity: Simple/fast error detection technique. Is a number even or odd?

 نظرية التحسيب و الأتمتة

• Powerset construction: Algorithm to convert nondeterministic automaton to deterministic automaton.
• Todd-Coxeter algorithm: Procedure for generating cosets.

 مواضيع أخرى

• خوارزمية فلكية
• Baum-Welch algorithm
• Bit manipulation algorithms: Create bit mask algorithm
• Doomsday algorithm: day of the week
• Schreier-Sims algorithm
• Viterbi algorithm
• Xor swap algorithm: swaps the values of two variables without using a buffer
• Luhn algorithm: a method of validating identification numbers