Results 81 to 90 of about 253 (140)

On rational polynomials [PDF]

open access: yes, 1948
Turán, Pál
core  

On Laguerre Expansions Summability by the Linear Methods

open access: yesIzvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics, 2008
Ooo «Zirvan», M.D. Burmistrova
openaire   +1 more source

On Laguerre's Method

open access: closedInternational Journal of Mathematical Education in Science and Technology, 1974
Summary This note describes steps in the derivation of Laguerre's method for approximating the roots of a polynomial equation that are normally omitted from the few texts that discuss the method. For completeness, a proof of cubic convergence in the case of real distinct roots is given together with a number of examples.
K. A. Redish
openalex   +3 more sources

Some modifications of Laguerre's method

open access: closedBIT, 1977
Two modifications of Laguerre's method are given. They define methods for simultaneously approximating all the zeros of a given polynomial. The asymptotic behavior of the methods is studied. The possibilities of both sequential and parallel implementations of the methods are considered.
Eskil Hansen   +2 more
openalex   +3 more sources

A hybrid laguerre method [PDF]

open access: possibleBIT, 1983
A method combining iterations of the Laguerre and modified Laguerre root-finding methods was developed to correct a problem of the modified Laguerre method with “paired approximations”. Experimental results indicate that this hybrid Laguerre method successfully separates approximation pairs which inhibit convergence in the modified Laguerre method.
openaire   +1 more source

Generalized Laguerre pseudospectral method based Laguerre interpolation

Applied Mathematics and Computation, 2012
Abstract In this paper, we develop the generalized Laguerre pseudospectral method for the second-order ordinary differential equation based on the modified generalized Laguerre approximation, which is very efficient for the long-time numerical simulations of dynamical systems. The numerical solution possesses the spectral accuracy.
Zhang Xiao-yong, Li Yan
openaire   +2 more sources

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