Results 71 to 80 of about 2,914,259 (200)

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.
openaire   +2 more sources

On the Collocation Method in Constructing a Solution to the Bending Equation for a Long Rectangular Nanoplate

Известия Иркутского государственного университета: Серия "Математика"
Within the framework of the theory of microstructural deformation, a new approach is proposed for constructing a solution to the bending equation of a long rectangular nanoplate that is under the influence of a transverse load.
O.V. Germider, V. N. Popov
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.
openaire   +3 more sources

Some Properties of Generalized Apostol-Type Frobenius–Euler–Fibonacci Polynomials

Mathematics
In this paper, by using the Golden Calculus, we introduce the generalized Apostol-type Frobenius–Euler–Fibonacci polynomials and numbers; additionally, we obtain various fundamental identities and properties associated with these polynomials and numbers,
Maryam Salem Alatawi, Waseem Ahmad Khan, Can Kızılateş, Cheon Seoung Ryoo   +3 more
doaj   +1 more source

Concerning Asymptotic Behavior for Extremal Polynomials Associated to Nondiagonal Sobolev Norms

Journal of Function Spaces and Applications, 2013
Let ℙ be the space of polynomials with complex coefficients endowed with a nondiagonal Sobolev norm ∥ · ∥W1,p(Vμ), where the matrix V and the measure μ constitute a p-admissible pair for 1≤p≤∞.
Ana Portilla, Yamilet Quintana, José M. Rodríguez, Eva Tourís   +3 more
doaj   +1 more source

Orthogonal Polynomials On Ellipses And Their Recurrence Relations

Demonstratio Mathematica, 2014
In this note we study the connection between orthogonal polynomials on an ellipse and orthogonal Laurent polynomials on the unit circle relative to some multiplicative measures and then establish the recurrence relations for orthogonal polynomials on an ...
Lauric Vasile
doaj   +1 more source

An explicit Wiener-Hopf factorization algorithm for matrix polynomials and its exact realizations within ExactMPF package. [PDF]

Proc Math Phys Eng Sci, 2022
Adukov VM, Adukova NV, Mishuris G.
europepmc   +1 more source

Exploring Zeros of Hermite-λ Matrix Polynomials: A Numerical Approach

Mathematics
This article aims to introduce a set of hybrid matrix polynomials associated with λ-polynomials and explore their properties using a symbolic approach.
Maryam Salem Alatawi, Manoj Kumar, Nusrat Raza, Waseem Ahmad Khan   +3 more
doaj   +1 more source

Structured Matrix Methods Computing the Greatest Common Divisor of Polynomials

Special Matrices, 2017
This paper revisits the Bézout, Sylvester, and power-basis matrix representations of the greatest common divisor (GCD) of sets of several polynomials. Furthermore, the present work introduces the application of the QR decomposition with column pivoting ...
Christou Dimitrios, Mitrouli Marilena, Triantafyllou Dimitrios   +2 more
doaj   +1 more source

A formula for complex zonal polynomials of second order

Revista de Matemática: Teoría y Aplicaciones, 2009
A formula for complex zonal polynomials of second order is derived by solving a particular partial differential equation. Keywords: Laplace-Beltrami operator, zonal polynomials, Hermitian matrix, Legendre’s differential equation.
Francisco J. Caro Lopera, Graciela González Farías, José A. Díaz García   +2 more
doaj   +1 more source