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

dc.creatorYamaleev, Robert M.
dc.date2011-03-01
dc.identifierhttps://revistas.ufro.cl/ojs/index.php/cubo/article/view/1380
dc.identifier10.4067/S0719-06462011000100003
dc.descriptionInvariant 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.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad de La Frontera. Temuco, Chile.en-US
dc.relationhttps://revistas.ufro.cl/ojs/index.php/cubo/article/view/1380/1232
dc.sourceCUBO, A Mathematical Journal; Vol. 13 No. 1 (2011): CUBO, A Mathematical Journal; 25–43en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 13 Núm. 1 (2011): CUBO, A Mathematical Journal; 25–43es-ES
dc.source0719-0646
dc.source0716-7776
dc.subjectNonspreading mappingen-US
dc.subjectmaximal monotone operatoren-US
dc.subjectinverse strongly-monotone mappingen-US
dc.subjectfixed pointen-US
dc.subjectiteration procedureen-US
dc.titleEvolutionary method of construction of solutions of polynomials and related generalized dynamicsen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion


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