Results 21 to 30 of about 2,914,259 (200)
Bounds for the zeros of unilateral octonionic polynomials
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 In the present work it is proved that the zeros of a unilateral octonionic polynomial belong to the conjugacy classes of the latent roots of an appropriate lambda-matrix.
Serôdio Rogério +2 more
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Bernoulli F-polynomials and Fibo–Bernoulli matrices
Advances in Difference Equations, 2019 In this article, we define the Euler–Fibonacci numbers, polynomials and their exponential generating function. Several relations are established involving the Bernoulli F-polynomials, the Euler–Fibonacci numbers and the Euler–Fibonacci polynomials. A new
Semra Kuş, Naim Tuglu, Taekyun Kim
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Stieltjes Property of Quasi-Stable Matrix Polynomials
Mathematics, 2022 In this paper, basing on the theory of matricial Hamburger moment problems, we establish the intrinsic connections between the quasi-stability of a monic or comonic matrix polynomial and the Stieltjes property of a rational matrix-valued function built ...
Xuzhou Zhan, Bohui Ban, Yongjian Hu
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Analytical Properties of the Generalized Heat Matrix Polynomials Associated with Fractional Calculus
Journal of Function Spaces, 2021 In this paper, we introduce a matrix version of the generalized heat polynomials. Some analytic properties of the generalized heat matrix polynomials are obtained including generating matrix functions, finite sums, and Laplace integral transforms.
Mohamed Abdalla, Salah Mahmoud Boulaaras
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On the location of eigenvalues of matrix polynomials [PDF]
Operators and Matrices, 2017 A number λ ∈ C is called an eigenvalue of the matrix polynomial P(z) if there exists a nonzero vector x ∈ Cn such that P(λ)x = 0 . Note that each finite eigenvalue of P(z) is a zero of the characteristic polynomial det(P(z)) .
C. Lê, Thị-Hòa-Bình Dư, T. Nguyen
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Joint Numerical Range of Matrix Polynomials [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2009 Some algebraic properties of the sharp points of the joint numerical range of a matrix polynomials are the main subject of this paper. We also consider isolated points of the joint numerical range of matrix polynomials.
Ahmed Sabir
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Matrix Valued Laguerre Polynomials [PDF]
, 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.
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Polynomial detection of matrix subalgebras [PDF]
Proceedings 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
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Some expansions for a class of generalized Humbert matrix polynomials
RACSAM, 2019 The paper is an accomplishment of a new 3-variable 4-parameter generating function for Humbert matrix polynomials with an approach of unifying several classes of matrix valued polynomials using standard techniques of series manipulation.
H. Srivastava, W. Khan, H. Haroon
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Vector Spaces of Linearizations for Matrix Polynomials: A Bivariate Polynomial Approach [PDF]
SIAM Journal on Matrix Analysis and Applications, 2016 We revisit the landmark paper [D. S. Mackey et al. SIAM J. Matrix Anal. Appl., 28 (2006), pp. 971--1004] and, by viewing matrices as coefficients for bivariate polynomials, we provide concise proofs for key properties of linearizations for matrix ...
Y. Nakatsukasa +2 more
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