Evolutionary method of construction of solutions of polynomials and related generalized dynamics
-
Robert M. Yamaleev
iamaleev@servidor.unam.mx
Downloads
DOI:
https://doi.org/10.4067/S0719-06462011000100003Abstract
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.
Keywords
Similar Articles
- Ioannis K. Argyros, Santhosh George, Ball comparison between Jarratt‘s and other fourth order method for solving equations , CUBO, A Mathematical Journal: Vol. 20 No. 3 (2018)
- M.I. Belishev, A.F. Vakulenko, On algebraic and uniqueness properties of harmonic quaternion fields on 3d manifolds , CUBO, A Mathematical Journal: Vol. 21 No. 1 (2019)
- Aymen Ammar, Aref Jeribi, Kamel Mahfoudhi, Generalized trace pseudo-spectrum of matrix pencils , CUBO, A Mathematical Journal: Vol. 21 No. 2 (2019)
- Ruchi Arora, Dharmendra Kumar, Ishita Jhamb, Avina Kaur Narang, Mathematical Modeling of Chikungunya Dynamics: Stability and Simulation , CUBO, A Mathematical Journal: Vol. 22 No. 2 (2020)
- A. Kamal, T.I. Yassen, D-metric Spaces and Composition Operators Between Hyperbolic Weighted Family of Function Spaces , CUBO, A Mathematical Journal: Vol. 22 No. 2 (2020)
- M. Sabet, R. G. Sanati, Topological algebras with subadditive boundedness radius , CUBO, A Mathematical Journal: Vol. 22 No. 3 (2020)
- Edoardo Ballico, Curves in low dimensional projective spaces with the lowest ranks , CUBO, A Mathematical Journal: Vol. 22 No. 3 (2020)
- Luciano Souza, Wilson Rosa de O. Júnior, Cícero Carlos R. de Brito, Christophe Chesneau, Renan L. Fernandes, Tiago A. E. Ferreira, Tan-G class of trigonometric distributions and its applications , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
- A. Kaboré, S. Ouaro, Anisotropic problem with non-local boundary conditions and measure data , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
- Robert Auffarth, Giancarlo Lucchini Arteche, Pablo Quezada, Smooth quotients of abelian surfaces by finite groups that fix the origin , CUBO, A Mathematical Journal: Vol. 24 No. 1 (2022)
<< < 16 17 18 19 20 21 22 23 24 25 26 27 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2011-03-01
How to Cite
[1]
R. M. Yamaleev, “Evolutionary method of construction of solutions of polynomials and related generalized dynamics”, CUBO, vol. 13, no. 1, pp. 25–43, Mar. 2011.
Issue
Section
Articles
