Results 71 to 80 of about 543,835 (181)

Bivariate Polynomial Matrix and Smith Form

Mathematics
Matrix equivalence plays a pivotal role in multidimensional systems, which are typically represented by multivariate polynomial matrices. The Smith form of matrices is one of the important research topics in polynomial matrices.
Licui Zheng, Tao Wu, Jinwang Liu
doaj   +1 more source

New Operational Matrix via Genocchi Polynomials for Solving Fredholm-Volterra Fractional Integro-Differential Equations

Advances in Mathematical Physics, 2017
It is known that Genocchi polynomials have some advantages over classical orthogonal polynomials in approximating function, such as lesser terms and smaller coefficients of individual terms.
Jian Rong Loh, Chang Phang, Abdulnasir Isah   +2 more
doaj   +1 more source

Strongly Damped Quadratic Matrix Polynomials [PDF]

SIAM Journal on Matrix Analysis and Applications, 2015
Summary: We study the eigenvalues and eigenspaces of the quadratic matrix polynomial \(M\lambda^2+sD\lambda+K\) as \(s\to\infty\), where \(M\) and \(K\) are symmetric positive definite and \(D\) is symmetric positive semidefinite. This work is motivated by its application to modal analysis of finite element models with strong linear damping.
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A new quadra polynomial sequence [PDF]

Notes on Number Theory and Discrete Mathematics
In this paper, we define a new quadra polynomial sequence by using Özkoç numbers as the coefficients. Then, we derive some properties for this polynomial sequence by the help of Fibonacci and Pell polynomials.
Emre Sevgi
doaj   +1 more source

New kinds of matrix polynomials [PDF]

Miskolc Mathematical Notes, 2013
In this study, we introduce new matrix poynomials and derive their properties such as explict representations, recurrence relations and generating matrix functions.
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On some properties of Korobov polynomials

Karpatsʹkì Matematičnì Publìkacìï, 2014
We represent Korobov polynomials as paradeterminants of triangular matrices and prove some of their properties.
V.M. Pylypiv, A.R. Malarchuk
doaj   +1 more source

Algebraic linearizations of matrix polynomials

Linear Algebra and its Applications, 2019
We show how to construct linearizations of matrix polynomials $z\mathbf{a}(z)\mathbf{d}_0 + \mathbf{c}_0$, $\mathbf{a}(z)\mathbf{b}(z)$, $\mathbf{a}(z) + \mathbf{b}(z)$ (when $\mathrm{deg}\left(\mathbf{b}(z)\right) < \mathrm{deg}\left(\mathbf{a}(z)\right)$), and $z\mathbf{a}(z)\mathbf{d}_0\mathbf{b}(z) + \mathbf{c_0}$ from linearizations of the ...
Eunice Y.S. Chan, Robert M. Corless, Laureano Gonzalez-Vega, J. Rafael Sendra, Juana Sendra   +4 more
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Polynomial Solutions to the Matrix Equation X−AXTB=C

Journal of Applied Mathematics, 2014
Solutions are constructed for the Kalman-Yakubovich-transpose equation X−AXTB=C. The solutions are stated as a polynomial of parameters of the matrix equation. One of the polynomial solutions is expressed by the symmetric operator matrix, controllability
Caiqin Song, Jun-e Feng
doaj   +1 more source

Recursive Polynomial Sets and Their Some Algebraic Applications

Cumhuriyet Science Journal
This paper primarily defines the framework for a new class of polynomial sets over a finite field GF (2), providing a recursive definition and delving into pertinent algebraic properties.
Hacı Aktaş
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Piecewise Certificates of Positivity for matrix polynomials

, 2010
We show that any symmetric positive definite homogeneous matrix polynomial $M\in\R[x_1,...,x_n]^{m\times m}$ admits a piecewise semi-certificate, i.e. a collection of identites $M(x)=\sum_jf_{i,j}(x)U_{i,j}(x)^TU_{i,j}(x)$ where $U_{i,j}(x)$ is a matrix ...
Quarez, Ronan
core   +2 more sources