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pro vyhledávání: '"Laguerre's method"'
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Autor:
Cör, Manca
V tem diplomskem seminarju obravnavamo naslednje metode za iskanje ničel polinomov: Newtonovo metodo, metodo Ostrovskega in Laguerrovo metodo. Izpeljali jih bomo s pomočjo vezanega optimizacijskega problema, potem pa na podoben način izpeljali še
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______3505::049bd31260b20b7cb1a0474503865850
https://repozitorij.uni-lj.si/Dokument.php?id=120931&dn=
https://repozitorij.uni-lj.si/Dokument.php?id=120931&dn=
Autor:
Thomas R. Cameron
Publikováno v:
Numerical Algorithms. 82:1065-1084
Two common strategies for computing all roots of a polynomial with Laguerre’s method are explicit deflation and Maehly’s procedure. The former is only a semi-stable process and is not suitable for solving large degree polynomial equations. In con
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e4f545eb8eafd67eb062eeb348307d92
https://doi.org/10.1007/s11075-018-0641-9
https://doi.org/10.1007/s11075-018-0641-9
Autor:
Maged G. Bin-Saad
Publikováno v:
Journal of the Association of Arab Universities for Basic and Applied Sciences. 24:271-276
The principal object of this paper is to present a natural further step toward the mathematical properties and presentations concerning the two variable Laguerre matrix polynomials defined in (Bin-Saad, Maged G., Antar, A. Al-Sayaad, 2015. Study of t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::93a77e465595cc2079aac99da8e9b198
https://doi.org/10.1016/j.jaubas.2016.09.001
https://doi.org/10.1016/j.jaubas.2016.09.001
Publikováno v:
ISA Transactions. 70:93-103
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::05001c8d8f8e0e9c3eb1406ae4750470
https://doi.org/10.1016/j.isatra.2017.05.015
https://doi.org/10.1016/j.isatra.2017.05.015
Autor:
Alfredo Deaño, Nick Simm
Publikováno v:
Journal of Approximation Theory. 220:44-59
In this paper, we compute the probability that an $N \times N$ matrix from the generalised Gaussian Unitary Ensemble (gGUE) is positive definite, extending a previous result of Dean and Majumdar \cite{DM}. For this purpose, we work out the large degr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2bc78a2b835204679e116bde9610de08
https://doi.org/10.1016/j.jat.2017.04.004
https://doi.org/10.1016/j.jat.2017.04.004
Autor:
Yao-Lin Jiang, Jia-Wei Yuan
Publikováno v:
International Journal of Control. 91:1861-1872
This paper presents a Laguerre polynomials-based parametrised model order reduction method for the parametric system in time domain. The method allows that the parametric dependence in system matrices is nonaffine. The method is presented via reducin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ae9642892b4b79cf95adc3dad974f4d3
https://doi.org/10.1080/00207179.2017.1333156
https://doi.org/10.1080/00207179.2017.1333156
Publikováno v:
Microwave and Optical Technology Letters. 59:1499-1503
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c9533e5e3825d193a1c4a46d6a7bfccc
https://doi.org/10.1002/mop.30577
https://doi.org/10.1002/mop.30577
Publikováno v:
Computational Mathematics and Mathematical Physics. 57:802-814
Using the diffusion equation as an example, results of applying the projection Galerkin method for solving time-independent heat and mass transfer equations in a semi-infinite domain are presented. The convergence of the residual corresponding to the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::db52e32ab8224dd43863e46af644f0f0
https://doi.org/10.1134/s0965542517050074
https://doi.org/10.1134/s0965542517050074
Autor:
Di Zhang, Xiaoping Miao
Publikováno v:
Numerical Methods for Partial Differential Equations. 33:1603-1615
This article proposes a new unconditionally stable scheme to solve one-dimensional telegraph equation using weighted Laguerre polynomials. Unlike other numerical schemes, the time derivatives in the equation can be expanded analytically based on the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::97f6b3a6aa1e9285038b11c220e409ec
https://doi.org/10.1002/num.22155
https://doi.org/10.1002/num.22155