Roots of the circular cylindrical shell characteristic equation
Milan Geryk (1972)
Aplikace matematiky
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Displaying similar documents to “Some parallel procedures for computing the eigenvalues of a real symmetric matrix.”
Roots of the circular cylindrical shell characteristic equation
On the Real and Imaginary Roots of Algebraical Equations
James Joseph Sylvester
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Enclosing roots of polynomial equations and their applications to iterative processes.
Argyros, I.K., Hilout, S. (2009)
Surveys in Mathematics and its Applications
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Remarks on A. B. Turowicz's and Z. Mikołajska's notes on approximations to roots of positive numbers
P. H. Diananda (1964)
Annales Polonici Mathematici
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Algorithms for the matrix sector function.
Laszkiewicz, Beata, Ziȩtak, Krystyna (2008)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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On Arrangements of Real Roots of a Real Polynomial and Its Derivatives
Kostov, Vladimir (2003)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 12D10. We prove that all arrangements (consistent with the Rolle theorem and some other natural restrictions) of the real roots of a real polynomial and of its s-th derivative are realized by real polynomials.
Newton-like algorithms for kth root calculation
Marek Kuczma, Halina Światak (1991)
Annales Polonici Mathematici
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On the Various Bisection Methods Derived from Vincent’s Theorem
Akritas, Alkiviadis, Strzeboński, Adam, Vigklas, Panagiotis (2008)
Serdica Journal of Computing
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In 2000 A. Alesina and M. Galuzzi presented Vincent’s theorem “from a modern point of view” along with two new bisection methods derived from it, B and C. Their profound understanding of Vincent’s theorem is responsible for simplicity — the characteristic property of these two methods. In this paper we compare the performance of these two new bisection methods — i.e. the time they take, as well as the number of intervals they examine in order to isolate the real roots of polynomials...
Quasi-Newton methods without projections for unconstrained minimization
Ladislav Lukšan (1982)
Kybernetika
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A parallel block Lanczos algorithm and its implementation for the evaluation of some eigenvalues of large sparse symmetric matrices on multicomputers
Mario Guarracino, Francesca Perla, Paolo Zanetti (2006)
International Journal of Applied Mathematics and Computer Science
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In the present work we describe HPEC (High Performance Eigenvalues Computation), a parallel software package for the evaluation of some eigenvalues of a large sparse symmetric matrix. It implements an efficient and portable Block Lanczos algorithm for distributed memory multicomputers. HPEC is based on basic linear algebra operations for sparse and dense matrices, some of which have been derived by ScaLAPACK library modules. Numerical experiments have been carried out to evaluate HPEC...