Evolutionary method of construction of solutions of polynomials and related generalized dynamics

Invariant theory as a study of properties of polynomials under translational transformations is developed. Class of polynomials with congruent set of eigenvalues is introduced. Evolution equations for eigenvalues and coefficients remaining the polynomial within proper class of polynomials are formul...

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Autor principal:	Yamaleev,Robert M
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2011
Materias:	Nonspreading mapping maximal monotone operator inverse strongly-monotone mapping fixed point iteration procedure
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462011000100003
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spelling	oai:scielo:S0719-064620110001000032018-10-08Evolutionary method of construction of solutions of polynomials and related generalized dynamicsYamaleev,Robert M Nonspreading mapping maximal monotone operator inverse strongly-monotone mapping fixed point iteration procedure Invariant theory as a study of properties of polynomials under translational transformations is developed. Class of polynomials with congruent set of eigenvalues is introduced. Evolution equations for eigenvalues and coefficients remaining the polynomial within proper class of polynomials are formulated. The connection with equations for hyper-elliptic Weierstrass and hyper-elliptic Jacobian functions is found. Algorithm of calculation of eigenvalues of the polynomials based on the evolution process is elaborated. Elements of the generalized dynamics with n-order characteristic polynomials are built.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.13 n.1 20112011-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462011000100003en10.4067/S0719-06462011000100003
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Nonspreading mapping maximal monotone operator inverse strongly-monotone mapping fixed point iteration procedure
spellingShingle	Nonspreading mapping maximal monotone operator inverse strongly-monotone mapping fixed point iteration procedure Yamaleev,Robert M Evolutionary method of construction of solutions of polynomials and related generalized dynamics
description	Invariant theory as a study of properties of polynomials under translational transformations is developed. Class of polynomials with congruent set of eigenvalues is introduced. Evolution equations for eigenvalues and coefficients remaining the polynomial within proper class of polynomials are formulated. The connection with equations for hyper-elliptic Weierstrass and hyper-elliptic Jacobian functions is found. Algorithm of calculation of eigenvalues of the polynomials based on the evolution process is elaborated. Elements of the generalized dynamics with n-order characteristic polynomials are built.
author	Yamaleev,Robert M
author_facet	Yamaleev,Robert M
author_sort	Yamaleev,Robert M
title	Evolutionary method of construction of solutions of polynomials and related generalized dynamics
title_short	Evolutionary method of construction of solutions of polynomials and related generalized dynamics
title_full	Evolutionary method of construction of solutions of polynomials and related generalized dynamics
title_fullStr	Evolutionary method of construction of solutions of polynomials and related generalized dynamics
title_full_unstemmed	Evolutionary method of construction of solutions of polynomials and related generalized dynamics
title_sort	evolutionary method of construction of solutions of polynomials and related generalized dynamics
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2011
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462011000100003
work_keys_str_mv	AT yamaleevrobertm evolutionarymethodofconstructionofsolutionsofpolynomialsandrelatedgeneralizeddynamics
_version_	1714206770761564160

Evolutionary method of construction of solutions of polynomials and related generalized dynamics

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