A novel method to compute all eigenvalues of the polynomial eigenvalue problems in an open half plane
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DOI: 10.1007/s40314-019-0778-8
Abstract: In this paper, we introduce the linear fractional mapping and the contour integral method. Based on them, we develop a new numerical method to find all eigenvalues of the polynomial eigenvalue problems in an open… read more here.
Keywords: polynomial eigenvalue; eigenvalues polynomial; problems open; open half ... See more keywords
Pseudo-spectra theory of tensors and tensor polynomial eigenvalue problems
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DOI: 10.1016/j.laa.2017.07.026
Abstract: Abstract This paper is devoted to the extension of the ϵ -pseudo-spectra theory from matrices to tensors. Based on the definition of an eigenpair of real symmetric tensors and results on the ϵ -pseudo-spectrum of… read more here.
Keywords: pseudo spectrum; tensor polynomial; eigenvalue problems; pseudo spectra ... See more keywords
A polynomial eigenvalue approach for multiplex networks
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DOI: 10.1088/1367-2630/aadf9f
Abstract: We explore the block nature of the matrix representation of multiplex networks, introducing a new formalism to deal with its spectral properties as a function of the inter-layer coupling parameter. This approach allows us to… read more here.
Keywords: multiplex networks; approach multiplex; eigenvalue approach; polynomial eigenvalue ... See more keywords