Displaying similar documents to “An algorithm for reduction of complexity of relations in a system of variables”

Graphics processing units in acceleration of bandwidth selection for kernel density estimation

Witold Andrzejewski, Artur Gramacki, Jarosław Gramacki (2013)

International Journal of Applied Mathematics and Computer Science

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The Probability Density Function (PDF) is a key concept in statistics. Constructing the most adequate PDF from the observed data is still an important and interesting scientific problem, especially for large datasets. PDFs are often estimated using nonparametric data-driven methods. One of the most popular nonparametric method is the Kernel Density Estimator (KDE). However, a very serious drawback of using KDEs is the large number of calculations required to compute them, especially...

A parallel projection method for linear algebraic systems

Fridrich Sloboda (1978)

Aplikace matematiky

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A direct projection method for solving systems of linear algebraic equations is described. The algorithm is equivalent to the algorithm for minimization of the corresponding quadratic function and can be generalized for the minimization of a strictly convex function.

On stable least squares solution to the system of linear inequalities

Evald Übi (2007)

Open Mathematics

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The system of inequalities is transformed to the least squares problem on the positive ortant. This problem is solved using orthogonal transformations which are memorized as products. Author’s previous paper presented a method where at each step all the coefficients of the system were transformed. This paper describes a method applicable also to large matrices. Like in revised simplex method, in this method an auxiliary matrix is used for the computations. The algorithm is suitable for...