Results 31 to 40 of about 549,018 (333)
Efficient Evaluation of Matrix Polynomials beyond the Paterson–Stockmeyer Method
Mathematics, 2021 Recently, two general methods for evaluating matrix polynomials requiring one matrix product less than the Paterson–Stockmeyer method were proposed, where the cost of evaluating a matrix polynomial is given asymptotically by the total number of matrix ...
Jorge Sastre, Javier Ibáñez
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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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Polynomial sequences generated by infinite Hessenberg matrices
Special 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
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The Extended Invariant Factor Algorithm with Application to the Forney Analysis of Convolutional Codes [PDF]
, 1993 In his celebrated paper on the algebraic structure of convolutional codes, Forney showed that by using the invariant-factor theorem, one can transform an arbitrary polynomial generator matrix for an (n, k) convolutional code C into a basic (and ...
McEliece, Robert J., Onyszchuk, Ivan
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Biorthogonal matrix polynomials related to Jacobi matrix polynomials
Computers & Mathematics with Applications, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Varma, Serhan, Taşdelen, Fatma
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The structure of solutions of the matrix linear unilateral polynomial equation with two variables
Karpatsʹkì 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
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CHARACTERISTIC ANTIADJACENCY MATRIX OF GRAPH JOIN
Barekeng, 2022 Let be a simple, connected, and undirected graph. The graph can be represented as a matrix such as antiadjacency matrix. An antiadjacency matrix for an undirected graph with order is a matrix that has an order and symmetric so that the ...
Wahri Irawan, Kiki Ariyanti Sugeng
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A Look at Generalized Degenerate Bernoulli and Euler Matrices
Mathematics, 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
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Random Perturbations of Matrix Polynomials [PDF]
Journal 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
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