Results 11 to 20 of about 7,955 (262)
Vibration, 2022 For the free vibrations of multi-degree mechanical structures appeared in structural dynamics, we solve the quadratic eigenvalue problem either by linearizing it to a generalized eigenvalue problem or directly treating it by developing the iterative ...
Chein-Shan Liu +2 more
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Grouped variable selection for generalized eigenvalue problems [PDF]
Signal Processing, 2022 Many problems require the selection of a subset of variables from a full set of optimization variables. The computational complexity of an exhaustive search over all possible subsets of variables is, however, prohibitively expensive, necessitating more efficient but potentially suboptimal search strategies.
Jonathan Dan +2 more
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A generalized Fucik type eigenvalue problem for p-Laplacian
Electronic Journal of Qualitative Theory of Differential Equations, 2009 In this paper we study the generalized Fucik type eigenvalue for the boundary value problem of one dimensional $p-$Laplace type differential equations \[ \left\{\begin{array}{lll} - (\varphi( u')) ' = \psi(u), \quad -T< x < T; \\ \quad u(-T)=0, \quad u ...
Yuanji Cheng
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Open Mathematics, 2020 Left and right inverse eigenpairs problem is a special inverse eigenvalue problem. There are many meaningful results about this problem. However, few authors have considered the left and right inverse eigenpairs problem with a submatrix constraint.
Li Fan-Liang
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Eigenvalue and Generalized Eigenvalue Problems: Tutorial
CoRR, 2019 This paper is a tutorial for eigenvalue and generalized eigenvalue problems. We first introduce eigenvalue problem, eigen-decomposition (spectral decomposition), and generalized eigenvalue problem. Then, we mention the optimization problems which yield to the eigenvalue and generalized eigenvalue problems. We also provide examples from machine learning,
Benyamin Ghojogh +2 more
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Results in Applied Mathematics, 2020 The interior elastic transmission eigenvalue problem, arising from the inverse scattering theory of non-homogeneous elastic media, is nonlinear, non-self-adjoint and of fourth order.
Xia Ji, Peijun Li, Jiguang Sun
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Mathematics, 2022 In this paper, a novel algorithm is proposed for reducing a banded symmetric generalized eigenvalue problem to a banded symmetric standard eigenvalue problem, based on the sequentially semiseparable (SSS) matrix techniques.
Fan Yuan +6 more
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A Prediction-Correction Dynamic Method for Large-Scale Generalized Eigenvalue Problems
Abstract and Applied Analysis, 2013 This paper gives a new prediction-correction method based on the dynamical system of differential-algebraic equations for the smallest generalized eigenvalue problem.
Xin-long Luo, Jia-ru Lin, Wei-ling Wu
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Least Squares Problems with Absolute Quadratic Constraints
Journal of Applied Mathematics, 2012 This paper analyzes linear least squares problems with absolute quadratic constraints. We develop a generalized theory following Bookstein's conic-fitting and Fitzgibbon's direct ellipse-specific fitting.
R. Schöne, T. Hanning
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Controlled precision QUBO-based algorithm to compute eigenvectors of symmetric matrices
PLoS ONE, 2022 We describe an algorithm to compute the extremal eigenvalues and corresponding eigenvectors of a symmetric matrix which is based on solving a sequence of Quadratic Binary Optimization problems.
Benjamin Krakoff +2 more
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