Results 81 to 90 of about 254 (139)

On rational polynomials [PDF]

open access: yes, 1948
Turán, Pál
core  

Oriented Circles in Non-Euclidean Space [PDF]

open access: yes, 1920
Kashiwagi, Hidetoshi   +1 more
core  

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   +2 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   +2 more sources

Generalized Laguerre pseudospectral method based Laguerre interpolation

Applied Mathematics and Computation, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Xiao-Yong, Li, Yan
openaire   +2 more sources

New methods of Laguerre pole optimization for the ARX model expansion on Laguerre bases

ISA Transactions, 2017
The ARX-Laguerre model is a very important reduced complexity representation of linear system. However a significant reduction of this model is subject to an optimal choice of both Laguerre poles. Therefore we propose in this paper two new methods to estimate, from input/output measurements, the optimal values of Laguerre poles of the ARX-Laguerre ...
Tawfik, Najeh   +4 more
openaire   +2 more sources

Operational methods and Laguerre–Gould Hopper polynomials

Applied Mathematics and Computation, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Khan, Subuhi, Al-Gonah, Ahmed Ali
openaire   +1 more source

Laguerre Spectral Method for High Order Problems

Numerical Mathematics: Theory, Methods and Applications, 2013
In this paper, we propose the Laguerre spectral method for high order problems with mixed inhomogeneous boundary conditions. It is also available for approximated solutions growing fast at infinity. The spectral accuracy is proved. Numerical results demonstrate its high effectiveness.
Zhang, Chao, Guo, Benyu, Sun, Tao
openaire   +2 more sources

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