Results 1 to 10 of about 33 (33)

An observation on the determinant of a Sylvester-Kac type matrix

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020
Based on a less-known result, we prove a recent conjecture concerning the determinant of a certain Sylvester-Kac type matrix related to some Lie Algebras. The determinant of an extension of that matrix is presented.
da Fonseca Carlos M., Kılıç Emrah
doaj   +1 more source

Two types of hypergeometric degenerate Cauchy numbers

open access: yesOpen Mathematics, 2020
In 1985, Howard introduced degenerate Cauchy polynomials together with degenerate Bernoulli polynomials. His degenerate Bernoulli polynomials have been studied by many authors, but his degenerate Cauchy polynomials have been forgotten.
Komatsu Takao
doaj   +1 more source

Bipartite Graphs Associated with Pell, Mersenne and Perrin Numbers

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
In this paper, we consider the relationships between the numbers of perfect matchings (1-factors) of bipartite graphs and Pell, Mersenne and Perrin Numbers.
Öteleş Ahmet
doaj   +1 more source

Sylvester Hadamard matrices revisited

open access: yesSpecial Matrices, 2014
In this work we revisited some properties of Sylvester Hadamard matrices of order 2k. Based onlyon the existence of a base from which any Sylvester Hadamard matrix can be constructed, we prove that theirrows (columns) are closed under addition and that ...
Mitrouli M.
doaj   +1 more source

Determinants and Inverses of Ppoeplitz and Ppankel matrices

open access: yesSpecial Matrices, 2018
In this paper, we consider two kinds of special matrices, which are called Ppoeplitz matrix and Ppankel matrix. The idea of matrix transformation is used to compute the determinants and inverses of the Ppoeplitz matrix and the Ppankel matrix.
Zuo Baishuai, Jiang Zhaolin, Fu Deqian
doaj   +1 more source

Explicit determinants, inverses and eigenvalues of four band Toeplitz matrices with perturbed rows

open access: yesSpecial Matrices, 2019
In this paper, four-band Toeplitz matrices and four-band Hankel matrices of type I and type II with perturbed rows are introduced. Explicit determinants, inverses and eigenvalues for these matrices are derived by using a nice inverse formula of block ...
Zhang Maoyun   +2 more
doaj   +1 more source

Four-point condition matrices of edge-weighted trees

open access: yesSpecial Matrices
Formulas for the determinant of distance matrix DT{D}_{T} of tree TT are known in the unweighted case and in the case when the edges of TT have commuting variable weights. Associated with the four-point condition (4PC) and a tree TT are two matrices, the
Azimi Ali   +3 more
doaj   +1 more source

Convergence analysis of non-matching finite elements for a linear monotone additive Schwarz scheme for semi-linear elliptic problems

open access: yesNonlinear Engineering
In this article, we are interested in the standard finite element approximation method of linear additive Schwarz iterations for a class of semi-linear elliptic problems, for two subdomains, in the context of non-matching grids.
Al Farei Qais, Boulbrachene Messaoud
doaj   +1 more source

Automated seizure onset zone locator from resting-state functional MRI in drug-resistant epilepsy. [PDF]

open access: yesFront Neuroimaging, 2022
Banerjee A   +5 more
europepmc   +1 more source

Biosensing with Fluorescent Carbon Nanotubes. [PDF]

open access: yesAngew Chem Int Ed Engl, 2022
Ackermann J   +3 more
europepmc   +1 more source

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