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The perturbed laplacian matrix of a graph
Linear and Multilinear Algebra, 2001For a graph G, we define its perturbed Laplacian matrix as D−A(G) where A(G) is the adjacency matrix of G and D is an arbitrary diagonal matrix. Both the Laplacian matrix and the negative of the adjacency matrix are special instances of the perturbed Laplacian.
R. B. Bapat, S. J. Kirkland, S. Pati
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Non-negative matrix factorization for images with Laplacian noise
APCCAS 2008 - 2008 IEEE Asia Pacific Conference on Circuits and Systems, 2008This paper is concerned with the design of a non-negative matrix factorization algorithm for image analysis. This can be used in the context of blind source separation, where each observed image is a linear combination of a few basis functions, and that both the coefficients for the linear combination and the bases are unknown.
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The biofilm matrix: multitasking in a shared space
Nature Reviews Microbiology, 2022Hans-Curt Flemming +2 more
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Hermitian skew Laplacian matrix of oriented graphs
Discrete Mathematics, Algorithms and ApplicationsLet [Formula: see text] be a simple graph of order [Formula: see text] having [Formula: see text] edges and let [Formula: see text] be an orientation of [Formula: see text]. The hermitian skew Laplacian matrix [Formula: see text] of [Formula: see text] is defined as [Formula: see text], where [Formula: see text] is the imaginary unit, [Formula: see ...
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Matrix product states and projected entangled pair states: Concepts, symmetries, theorems
Reviews of Modern Physics, 2021Juan Ignacio Cirac Sasturáin +2 more
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