Inversion of Parahermitian matrices [PDF]
, 2010 Parahermitian matrices arise in broadband multiple-input multiple-output (MIMO) systems or array processing, and require inversion in some instances. In this paper, we apply a polynomial eigenvalue decomposition obtained by the sequential best rotation ...
Millar, Andrew P. +2 more
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图的Aα-特征多项式系数的一个注记(A note on the coefficients of the Aα-characteristic polynomial of a graph)
Zhejiang Daxue xuebao. Lixue ban, 2019 Let G be a graph on n vertices, and let A( G ) and D ( G ) denote the adjacency matrix and the degree matrix of G, respectively. Define Aα ( G )= αD ( G )+( 1 - α ) A( G ) for any real α ∈ [ 0,1 ].
LIUShunyi,(柳顺义) +1 more
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Finsler's Lemma for matrix polynomials
Linear Algebra and its Applications, 2015 23 pages, 2 figures ...
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New Structured Matrix Methods for Real and Complex Polynomial Root-finding [PDF]
, 2013 We combine the known methods for univariate polynomial root-finding and for computations in the Frobenius matrix algebra with our novel techniques to advance numerical solution of a univariate polynomial equation, and in particular numerical ...
Pan, Victor Y., Zheng, Ai-Long
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Realization in Generalized State Space form for 2-D Polynomial System Matrices
Sultan Qaboos University Journal for Science, 2005 In this paper, a direct realization procedure is presented that brings a general 2-D polynomial system matrix to generalized state space (GSS) form, such that all the relevant properties including the zero structure of the system matrix are retained.
M.S. Boudellioua, B. Chentouf
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Chebyshev polynomial method to Landauer–Büttiker formula of quantum transport in nanostructures
AIP Advances, 2020 The Landauer–Büttiker formula describes the electronic quantum transport in nanostructures and molecules. It will be numerically demanding for simulations of complex or large size systems due to, for example, matrix inversion calculations.
Yan Yu +6 more
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Polynomial supersymmetry for matrix Hamiltonians [PDF]
Physics Letters A, 2013 9 ...
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AppliedMathThis paper introduces a digital adaptive control framework for large-scale multivariable systems, integrating matrix linear Diophantine equations with block pole placement.
Belkacem Bekhiti +4 more
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Computation of nonlinear eigenvalues based on the Ore determinant: preliminary results [PDF]
Proceedings of the Estonian Academy of SciencesThe concept of eigenvalues has recently been generalized for nonlinear systems, but the method to find them is missing. Unlike the linear case, now one has to deal with non-commutative polynomials from the Ore ring. In the paper, the Ore determinant of a
Miroslav Halás +3 more
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Interactive certificate for the verification of Wiedemann's Krylov sequence: application to the certification of the determinant, the minimal and the characteristic polynomials of sparse matrices [PDF]
, 2015 Certificates to a linear algebra computation are additional data structures for each output, which can be used by a-possibly randomized- verification algorithm that proves the correctness of each output.
Dumas, Jean-Guillaume +2 more
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