Results 21 to 30 of about 5,908 (265)
A Generalized Inexact Newton Method for Inverse Eigenvalue Problems
Abstract and Applied Analysis, 2014 We propose a generalized inexact Newton method for solving the inverse eigenvalue problems, which includes the generalized Newton method as a special case.
Weiping Shen
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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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One-Shot Distributed Generalized Eigenvalue Problem (DGEP): Concept, Algorithm and Experiments
Applied Sciences, 2022 This paper focuses on the design of a distributed algorithm for generalized eigenvalue problems (GEPs) in one-shot communication. Since existing distributed methods for eigenvalue decomposition cannot be applied to GEP, a general one-shot distributed GEP
Kexin Lv +4 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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Eigenvibrations of a bar with load
MATEC Web of Conferences, 2017 The differential eigenvalue problem describing eigenvibrations of an elastic bar with load is investigated. The problem has an increasing sequence of positive simple eigenvalues with limit point at infinity.
Samsonov Anton A. +2 more
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A Jacobi–Davidson Method for Large Scale Canonical Correlation Analysis
Algorithms, 2020 In the large scale canonical correlation analysis arising from multi-view learning applications, one needs to compute canonical weight vectors corresponding to a few of largest canonical correlations.
Zhongming Teng, Xiaowei Zhang
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Sparse Generalized Eigenvalue Problem Via Smooth Optimization [PDF]
IEEE Transactions on Signal Processing, 2015 In this paper, we consider an $\ell_{0}$-norm penalized formulation of the generalized eigenvalue problem (GEP), aimed at extracting the leading sparse generalized eigenvector of a matrix pair. The formulation involves maximization of a discontinuous nonconcave objective function over a nonconvex constraint set, and is therefore computationally ...
Song, Junxiao ECE +2 more
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Investigation of eigenvibrations of a loaded bar
MATEC Web of Conferences, 2018 The differential eigenvalue problem describing eigenvibrations of a bar with fixed ends and attached load at an interior point is investigated. This problem has an increasing sequence of positive simple eigenvalues with limit point at infinity.
Samsonov Anton A., Solov’ev Sergey I.
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Eigenvalue and Generalized Eigenvalue Problems: Tutorial
, 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,
Ghojogh, Benyamin +2 more
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Special MatricesThe generalized eigenvalue problem is a significant topic with numerous applications in scientific and technological computing. Therefore, verifying the reliability of the results produced by numerical solvers is crucial.
Ozaki Katsuhisa, Terao Takeshi
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