Results 11 to 20 of about 48,254 (265)

A Look at Generalized Degenerate Bernoulli and Euler Matrices

open access: yesMathematics, 2023
In this paper, we consider the generalized degenerate Bernoulli/Euler polynomial matrices and study some algebraic properties for them. In particular, we focus our attention on some matrix-inversion formulae involving these matrices.
Juan Hernández   +2 more
doaj   +1 more source

Marginal Fisher Analysis With Polynomial Matrix Function

open access: yesIEEE Access, 2022
Marginal fisher analysis (MFA) is a dimensionality reduction method based on a graph embedding framework. In contrast to traditional linear discriminant analysis (LDA), which requires the data to follow a Gaussian distribution, MFA is suitable for non ...
Ruisheng Ran   +4 more
doaj   +1 more source

Matrix Valued Laguerre Polynomials [PDF]

open access: yes, 2019
20 pages, to appear in Positivity and Noncommutative Analysis Festschrift in Honour of Ben de Pagter (eds. G. Buskes, M. de Jeu, P. Dodds, A. Schep, F. Sukochev, J. van Neerven and A. Wickstead)
Koelink, H.T., Roman, P.M.
openaire   +3 more sources

Energy of a semigraph

open access: yesAKCE International Journal of Graphs and Combinatorics, 2019
Semigraph is a generalization of graph. We introduce the concept of energy in a semigraph in two ways, one, the matrix energy Em, as summation of singular values of the adjacency matrix of a semigraph, and the other, polynomial energy Ere, as energy of ...
Gaidhani Y.S.   +2 more
doaj   +2 more sources

Polynomial detection of matrix subalgebras [PDF]

open access: yesProceedings of the American Mathematical Society, 2004
The double Capelli polynomial of total degree 2 t 2t is ∑ { ( s g σ τ ) x σ ( 1 ) y
openaire   +6 more sources

Polynomial sequences generated by infinite Hessenberg matrices

open access: yesSpecial Matrices, 2017
We show that an infinite lower Hessenberg matrix generates polynomial sequences that correspond to the rows of infinite lower triangular invertible matrices. Orthogonal polynomial sequences are obtained when the Hessenberg matrix is tridiagonal. We study
Verde-Star Luis
doaj   +1 more source

The structure of solutions of the matrix linear unilateral polynomial equation with two variables

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2017
We investigate the structure of solutions of the matrix linear polynomial equation $A(\lambda)X(\lambda)+B(\lambda)Y(\lambda)=C(\lambda),$ in particular, possible degrees of the solutions.
N.S. Dzhaliuk, V.M. Petrychkovych
doaj   +1 more source

Generalization of numerical range of polynomial operator matrices

open access: yesTikrit Journal of Pure Science, 2023
Suppose that  is a polynomial matrix operator where  for , are  complex matrix and let  be a complex variable. For an  Hermitian matrix , we define the -numerical range of polynomial matrix of  as , where .
Darawan Zrar Mohammed, Ahmed Muhammad
doaj   +1 more source

Biorthogonal matrix polynomials related to Jacobi matrix polynomials

open access: yesComputers & Mathematics with Applications, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Varma, Serhan, Taşdelen, Fatma
openaire   +2 more sources

Random Perturbations of Matrix Polynomials [PDF]

open access: yesJournal of Theoretical Probability, 2020
AbstractA sum of a large-dimensional random matrix polynomial and a fixed low-rank matrix polynomial is considered. The main assumption is that the resolvent of the random polynomial converges to some deterministic limit. A formula for the limit of the resolvent of the sum is derived, and the eigenvalues are localised.
Patryk Pagacz, Michał Wojtylak
openaire   +3 more sources

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