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
- Abdelilah Azghay, Mohammed Massar, On a class of fractional \(p(\cdot,\cdot)-\)Laplacian problems with sub-supercritical nonlinearities , CUBO, A Mathematical Journal: Vol. 25 No. 3 (2023)
- Fethi Soltani, Extremal functions and best approximate formulas for the Hankel-type Fock space , CUBO, A Mathematical Journal: Vol. 26 No. 2 (2024)
- M. Lellis Thivagar, S. Athisaya Ponmani, R. Raja Rajeswari, Erdal Ekici, On Some Bitopological ð›¾-Separation Axioms , CUBO, A Mathematical Journal: Vol. 10 No. 3 (2008): CUBO, A Mathematical Journal
- Sepide Hajighasemi, Shirin Hejazian, Surjective maps preserving the reduced minimum modulus of products , CUBO, A Mathematical Journal: Vol. 25 No. 1 (2023)
- Volodymyr Sushch, Green Function for a Two-Dimensional Discrete Laplace-Beltrami Operator , CUBO, A Mathematical Journal: Vol. 10 No. 2 (2008): CUBO, A Mathematical Journal
- Nguyen Buong, Convergence rates in regularization for ill-posed variational inequalities , CUBO, A Mathematical Journal: Vol. 7 No. 3 (2005): CUBO, A Mathematical Journal
- Abderemane Morame, Françoise Truc, Accuracy on eigenvalues for a Schrödinger operator with a degenerate potential in the semi-classical limit , CUBO, A Mathematical Journal: Vol. 9 No. 2 (2007): CUBO, A Mathematical Journal
- M.K. Gupta, Rupen Pratap Singh, Connectedness in Fuzzy bitopological Spaces , CUBO, A Mathematical Journal: Vol. 9 No. 1 (2007): CUBO, A Mathematical Journal
- Masaru Ikehata, Inverse Crack Problem and Probe Method , CUBO, A Mathematical Journal: Vol. 8 No. 1 (2006): CUBO, A Mathematical Journal
- Giuseppe Da Prato, Elliptic operators with infinitely many variables , CUBO, A Mathematical Journal: Vol. 6 No. 2 (2004): CUBO, A Mathematical Journal
<< < 11 12 13 14 15 16 17 18 19 20 21 22 > >>
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
