Results 11 to 20 of about 518,086 (284)
Circulant matrices: norm, powers, and positivity [PDF]
Opuscula Mathematica, 2018 In their recent paper "The spectral norm of a Horadam circulant matrix", Merikoski, Haukkanen, Mattila and Tossavainen study under which conditions the spectral norm of a general real circulant matrix \({\bf C}\) equals the modulus of its row/column sum.
Marko Lindner
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Integration of the finite complex Toda lattice with a self-consistent source
Partial Differential Equations in Applied Mathematics, 2023 In the paper, we derive a finite complex Toda lattice with a self-consistent source. We discuss the complete integrability of the constructed systems that is based on the transformation to the spectral data of an associated finite Jacobi matrix.
B.A. Babajanov +2 more
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Optimum “Eye Location” Problem for Spectral Clustering With Cosine Distance
IEEE Access, 2023 It has recently been reported that Spectral Clustering gives state-of-the art clustering performance for many real-life benchmark datasets. When building the dissimilarity (distance) matrix for the Laplacian matrix, cosine distance is also reported to ...
Zekeriya Uykan
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Group representations and matrix spectral problems∗ [PDF]
Linear and Multilinear Algebra, 1999 We study a connectionvia group representation theory, between the problem of describing the invariant factors of a product of two matrices over a principal ideal domain and the problem of describing the spectrum of a sum of two Hermitian matrices.
Ana Paula Santana +2 more
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An improved multi-view spectral clustering based on tissue-like P systems
Scientific Reports, 2022 Multi-view spectral clustering is one of the multi-view clustering methods widely studied by numerous scholars. The first step of multi-view spectral clustering is to construct the similarity matrix of each view.
Huijian Chen, Xiyu Liu
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Mathematics, 2015 The connection problem for orthogonal polynomials is, given a polynomial expressed in the basis of one set of orthogonal polynomials, computing the coefficients with respect to a different set of orthogonal polynomials.
Tom Bella, Jenna Reis
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Partial Differential Equations in Applied Mathematics, 2022 In this paper, the main work is to study the N-soliton solutions for the M-component nonlinear Schrödinger equations, the matrix Riemann–Hilbert problem is constructed for this integrable hierarchies by analyzing the block matrix spectral problem of the ...
Jian Li, Tiecheng Xia
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Nonlocal PT-symmetric integrable equations and related Riemann–Hilbert problems
Partial Differential Equations in Applied Mathematics, 2021 We aim to discuss about how to construct and classify nonlocal PT-symmetric integrable equations via nonlocal group reductions of matrix spectral problems.
Wen-Xiu Ma
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Incremental spectral clustering and its application to topological mapping [PDF]
, 2007 This paper presents a novel use of spectral clustering algorithms to support cases where the entries in the affinity matrix are costly to compute. The method is incremental – the spectral clustering algorithm is applied to the affinity matrix after each
Duckett, Tom +2 more
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Inverse spectral problems for Sturm–Liouville operators with matrix-valued potentials [PDF]
Inverse Problems, 2009 We give a complete description of the set of spectral data (eigenvalues and specially introduced norming constants) for Sturm--Liouville operators on the interval $[0,1]$ with matrix-valued potentials in the Sobolev space $W_2^{-1}$ and suggest an algorithm reconstructing the potential from the spectral data that is based on Krein's accelerant method.
Mykytyuk, Ya. V., Trush, N. S.
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