d-algorithm

  • 111Pollard's rho algorithm — is a special purpose integer factorization algorithm. It was invented by John Pollard in 1975. It is particularly effective at splitting composite numbers with small factors.Core ideasThe rho algorithm is based on Floyd s cycle finding algorithm… …

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  • 112Divide-and-conquer eigenvalue algorithm — Divide and conquer eigenvalue algorithms are a class of eigenvalue algorithms for Hermitian or real symmetric matrices that have recently (circa 1990s) become competitive in terms of stability and efficiency with more traditional algorithms such… …

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  • 113Schönhage-Strassen algorithm — The Schönhage Strassen algorithm is an asymptotically fast multiplication algorithm for large integers. It was developed by Arnold Schönhage and Volker Strassen in 1971. [A. Schönhage and V. Strassen, Schnelle Multiplikation großer Zahlen ,… …

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  • 114Karmarkar's algorithm — is an algorithm introduced by Narendra Karmarkar in 1984 for solving linear programming problems. It was the first reasonably efficient algorithm that solves these problems in polynomial time. The ellipsoid method is also polynomial time but… …

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  • 115Reverse-delete algorithm — The reverse delete algorithm is an algorithm in graph theory used to obtain a minimum spanning tree from a given connected, edge weighed graph. If the graph is disconnected, this algorithm will find a minimum spanning tree for each disconnected… …

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  • 116Integer relation algorithm — An integer relation between a set of real numbers x 1, x 2, ..., x n is a set of integers a 1, a 2, ..., a n, not all 0, such that:a 1x 1 + a 2x 2 + cdots + a nx n = 0.,An integer relation algorithm is an algorithm for finding integer relations.… …

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  • 117Bluestein's FFT algorithm — (1968), commonly called the chirp z transform algorithm (1969), is a fast Fourier transform (FFT) algorithm that computes the discrete Fourier transform (DFT) of arbitrary sizes (including prime sizes) by re expressing the DFT as a convolution.… …

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  • 118Rabin-Karp string search algorithm — The Rabin Karp algorithm is a string searching algorithm created by Michael O. Rabin and Richard M. Karp in 1987 that uses hashing to find a substring in a text. It is used for multiple pattern matching rather than single pattern matching. For… …

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  • 119Johnson's algorithm — is a way to find shortest paths between all pairs of vertices in a sparse directed graph. It allows some of the edge weights to be negative numbers, but no negative weight cycles may exist.Algorithm descriptionJohnson s algorithm consists of the… …

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  • 120Smith-Waterman algorithm — The Smith Waterman algorithm is a well known algorithm for performing local sequence alignment; that is, for determining similar regions between two nucleotide or protein sequences. Instead of looking at the total sequence, the Smith Waterman… …

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