A simple algorithm for computing canonical forms

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Date added 2019-03-31
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Author H Ford, L R Hunt, Renjeng Su, United States. National Aeronautics and Space Administration.
Language English
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A genetic algorithm tutorial | SpringerLink


This tutorial covers the canonical genetic algorithm as well as more experimental forms of genetic algorithms, including parallel island models and parallel cellular genetic algorithms. The tutorial also illustrates genetic search by hyperplane sampling.

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On the Use of Gröbner Bases for Computing ... - …


Some algorithmic properties are obtained related with the computation of the elementary divisors and a set of canonical generators of a finite abelian group, this properties are based on Gröbner bases techniques used as a theoretical framework. As an application a new algorithm for computing the structure of the abelian group is presented.

Algorithm - Wikipedia


Algorithm design refers to a method or mathematical process for problem-solving and engineering algorithms. The design of algorithms is part of many solution theories of operation research, such as dynamic programming and divide-and-conquer.Techniques for designing and implementing algorithm designs are also called algorithm design patterns, such as the template method pattern and decorator ...

A new algorithm and refined bounds for


Extended gcd computation is interesting itself. It also plays a fundamental role in other calculations. We present a new algorithm for solving the extended gcd problem. This algorithm has a particularly simple description and is practical. It also provides refined bounds on the size of the multipliers obtained.



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Canonicalization - Wikipedia


In morphology and lexicography, a lemma is the canonical form of a set of words. In English, for example, run, runs, ran and running are forms of the same lexeme, so we can select one of them, ex. run, to represent all the forms. Lexical databases such as Unitex use this kind of representation.

Canonical | Definition of Canonical at …


07.11.2014 · Canonical definition, pertaining to, established by, or conforming to a canon or canons. See more.

List of algorithms - Wikipedia


A*: special case of best-first search that uses heuristics to improve speed; B*: a best-first graph search algorithm that finds the least-cost path from a given initial node to any goal node (out of one or more possible goals) Backtracking: abandons partial solutions when they are found not to satisfy a complete solution; Beam search: is a heuristic search algorithm that is an optimization of ...

Simple | Definition of Simple at Dictionary.com


09.01.2015 · Simple definition, easy to understand, deal with, use, etc.: a simple matter; simple tools. See more.

A simple algorithm for computing canonical


A SIMPLE ALGORITHM FOR COMPUTING CANONICAL FORMS H. FORDt, L. R. HuNT$ and RENJENG SU Communicated by Ervin Y. Rodin (Received September, 1983) Abstract-It is well known that all linear time-invariant controllable systems can be transformed to Brunovsky canonical form by a transformation consisting only of coordinate changes and linear feedback.

Efficient numerical algorithms for constructing …


A real square matrix is generalized doubly stochastic (g.d.s.) if all of its row sums and column sums equal one. We propose efficient numerical algorithms for generating such matrices having possibly orthogonality property or/and satisfying Yang-Baxter equation (YBE).

Canonical form - Wikipedia


Definition. Suppose we have some set S of objects, with an equivalence relation R.A canonical form is given by designating some objects of S to be "in canonical form", such that every object under consideration is equivalent to exactly one object in canonical form. In other words, the canonical forms in S represent the equivalence classes, once and only once.

C++ Standard Library headers - cppreference.com


C compatibility headers. For some of the C standard library headers of the form xxx. h, the C++ standard library both includes an identically-named header and another header of the form cxxx (all meaningful cxxx headers are listed above).. With the exception of complex. h, each xxx. h header included in the C++ standard library places in the global namespace each name that the corresponding ...

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A Snapshot Algorithm for Linear Feedback Flow …


A Snapshot Algorithm for Linear Feedback Flow ... The engine dynamometer data acquired from a Ford 4.6L V8 engine demonstrates the H controller ... and canonical forms.



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Efficient computation of longest single-arm …


18.10.2019 · In this paper, we introduce new types of approximate palindromes called single-arm-gapped palindromes (shortly SAGPs). A SAGP contains a gap in either…

An efficient parallel algorithm for the calculation …

researchgate.net/publication/11263109_An_efficient ... ithm_for_the_calculation_of_canonical_MP2_energies

An efficient parallel algorithm for the calculation of canonical MP2 energies Article in Journal of Computational Chemistry 23(12):1150-6 · September 2002 with 18 Reads How we measure 'reads'

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New Finite Pivoting Rules for the Simplex


A simple proof of finiteness is given for the simplex method under an easily described pivoting rule. A second new finite version of the simplex method is also presented.

Background: Algorithms — 50 Examples 1.0 …


Background: Algorithms¶. An algorithm specifies a series of steps that perform a particular computation or task. Algorithms were originally born as part of mathematics – the word “algorithm” comes from the Arabic writer Muḥammad ibn Mūsā al-Khwārizmī, – but currently the word is strongly associated with computer science.

Orthogonal Transformations for Multivariable …

researchgate.net/publication/277592949_Orthogonal_ ... tions_for_Multivariable_Companion_form_Computation

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Householder Matrix - an overview | …


is orthogonal and symmetric. Products H u v, H u A, and AH u, where A is an m × n matrix and v is an m × 1 vector can be computed implicitly without the need to build H u.By a proper choice of u (Equation 17.9), H u A zeros out all the elements below a diagonal element a ii, and so it is an ideal tool for the QR decomposition. The Householder QR decomposition is stable and, like the Givens ...

Depth-First Search and Linear Graph Algorithms


The value of depth-first search or “backtracking” as a technique for solving problems is illustrated by two examples. An improved version of an algorithm for finding the strongly connected components of a directed graph and at algorithm for finding the biconnected components of an …

Algorithm in Programming (With Examples) - …


Each steps in algorithm should be clear and unambiguous. Algorithm should be most effective among many different ways to solve a problem. An algorithm shouldn't have computer code. Instead, the algorithm should be written in such a way that, it can be used in similar programming languages.

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On the Complexity of the Extended Euclidean …

researchgate.net/publication/220368405_On_the_Comp ... the_Extended_Euclidean_Algorithm_extended_abstract

On the Complexity of the Extended Euclidean Algorithm (extended abstract). Article (PDF Available) in Electronic Notes in Theoretical Computer Science 78:1-4 · April 2003 with 866 Reads

Hermite normal form - Wikipedia


Row-style Hermite normal form. An m by n matrix A with integer entries has a (row) Hermite normal form H if there is a square unimodular matrix U where H=UA and H has the following restrictions: H is upper triangular (that is, h ij = 0 for i > j), and any rows of zeros are located below any other row.



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A harmonic FEAST algorithm for non-Hermitian …


The FEAST algorithm, a contour-integral based eigensolver, was developed for computing the eigenvalues inside a given interval, along with their eigenvectors, of a Hermitian generalized eigenproblem. The FEAST algorithm is a fast and stable technique, and is easily parallelizable.

Analysis of structures transformable to circulant …


In this paper, eigenvalues and eigenvectors of the specific types of structural matrices are studied, and a simple method is presented for calculating their eigenvalues. First, the required...

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