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  2. Divide-and-conquer algorithm - Wikipedia

    en.wikipedia.org/wiki/Divide-and-conquer_algorithm

    The divide-and-conquer technique is the basis of efficient algorithms for many problems, such as sorting (e.g., quicksort, merge sort), multiplying large numbers (e.g., the Karatsuba algorithm), finding the closest pair of points, syntactic analysis (e.g., top-down parsers), and computing the discrete Fourier transform .

  3. Karatsuba algorithm - Wikipedia

    en.wikipedia.org/wiki/Karatsuba_algorithm

    The Karatsuba algorithm is a fast multiplication algorithm. It was discovered by Anatoly Karatsuba in 1960 and published in 1962. [ 1 ] [ 2 ] [ 3 ] It is a divide-and-conquer algorithm that reduces the multiplication of two n -digit numbers to three multiplications of n /2-digit numbers and, by repeating this reduction, to at most n log 2 ⁡ 3 ...

  4. Category:Divide-and-conquer algorithms - Wikipedia

    en.wikipedia.org/wiki/Category:Divide-and...

    Download as PDF; Printable version; In other projects Wikimedia Commons; Wikidata item; Appearance. ... Divide-and-conquer algorithm; C. Closest pair of points problem;

  5. Divide-and-conquer eigenvalue algorithm - Wikipedia

    en.wikipedia.org/wiki/Divide-and-conquer_eigen...

    This technique can be used to improve the efficiency of many eigenvalue algorithms, but it has special significance to divide-and-conquer. For the rest of this article, we will assume the input to the divide-and-conquer algorithm is an real symmetric tridiagonal matrix . The algorithm can be modified for Hermitian matrices.

  6. Dichotomic search - Wikipedia

    en.wikipedia.org/wiki/Dichotomic_search

    In computer science, a dichotomic search is a search algorithm that operates by selecting between two distinct alternatives (dichotomies [1] or polychotomies [2] when they are more than two) at each step. It is a specific type of divide and conquer algorithm. A well-known example is binary search. [3]

  7. Master theorem (analysis of algorithms) - Wikipedia

    en.wikipedia.org/wiki/Master_theorem_(analysis...

    The master theorem always yields asymptotically tight bounds to recurrences from divide and conquer algorithms that partition an input into smaller subproblems of equal sizes, solve the subproblems recursively, and then combine the subproblem solutions to give a solution to the original problem. The time for such an algorithm can be expressed ...

  8. Algorithmic technique - Wikipedia

    en.wikipedia.org/wiki/Algorithmic_technique

    The divide and conquer technique decomposes complex problems recursively into smaller sub-problems. Each sub-problem is then solved and these partial solutions are recombined to determine the overall solution. This technique is often used for searching and sorting. [5]

  9. Convex hull algorithms - Wikipedia

    en.wikipedia.org/wiki/Convex_hull_algorithms

    Divide and conquer, a.k.a. merge hull — O(n log n) Another O(n log n) algorithm, published in 1977 by Preparata and Hong. This algorithm is also applicable to the three dimensional case. Chan calls this "one of the best illustrations of the power of the divide-and-conquer paradigm". [2] Monotone chain, a.k.a. Andrew's algorithm — O(n log n)