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
- Binayak Choudhury, Subhajit Kundu, Approximating a solution of an equilibrium problem by Viscosity iteration involving a nonexpansive semigroup , CUBO, A Mathematical Journal: Vol. 15 No. 3 (2013): CUBO, A Mathematical Journal
- Shrabani Banerjee, Binayak S. Choudhury, Weak and strong convergence theorems of a multistep iteration to a common fixed point of a family of nonself asymptotically nonexpansive mappings in banach spaces , CUBO, A Mathematical Journal: Vol. 14 No. 3 (2012): CUBO, A Mathematical Journal
- Adrian Petrus¸el, Ioan A. Rus, Marcel Adrian S¸erban, Fixed Points for Operators on Generalized Metric Spaces , CUBO, A Mathematical Journal: Vol. 10 No. 4 (2008): CUBO, A Mathematical Journal
- S. S. Dragomir, Several inequalities for an integral transform of positive operators in Hilbert spaces with applications , CUBO, A Mathematical Journal: Vol. 25 No. 2 (2023)
- Youssef N Raffoul, Stability and boundedness in nonlinear and neutral difference equations using new variation of parameters formula and fixed point theory , CUBO, A Mathematical Journal: Vol. 21 No. 3 (2019)
- Bapurao C. Dhage, Some Generalizations of Mulit-Valued Version of Schauder‘s Fixed Point Theorem with Applications , CUBO, A Mathematical Journal: Vol. 12 No. 3 (2010): CUBO, A Mathematical Journal
- Yuqing Chen, Donal O‘Regan, Ravi P. Agarwal, Degree theory for the sum of VMO maps and maximal monotone maps , CUBO, A Mathematical Journal: Vol. 13 No. 2 (2011): CUBO, A Mathematical Journal
- Jan Andres, Karel Pastor, Pavla Snyrychov´a, Simple Fixed Point Theorems on Linear Continua , CUBO, A Mathematical Journal: Vol. 10 No. 4 (2008): CUBO, A Mathematical Journal
- René Erlin Castillo, Héctor Camilo Chaparro, Función maximal, un subespacio de Orlicz-Lorentz, y el operador multiplicación , CUBO, A Mathematical Journal: Vol. 27 No. 2 (2025): Spanish Edition (40th Anniversary)
- Abdellatif Moudafi, Computing the resolvent of composite operators , CUBO, A Mathematical Journal: Vol. 16 No. 3 (2014): CUBO, A Mathematical Journal
<< < 1 2 3 4 5 6 7 8 9 10 11 12 > >>
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
