Results 21 to 30 of about 134,349 (198)
Biometrika, 2020 Summary The properties of penalized sample covariance matrices depend on the choice of the penalty function. In this paper, we introduce a class of nonsmooth penalty functions for the sample covariance matrix and demonstrate how their use results in a grouping of the estimated eigenvalues.
Tyler, David E., Yi, Mengxi
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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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ritchieng/eigenvectors-from-eigenvalues: Non-optimized PyTorch Eigenvectors from Eigenvalues Implementation [PDF]
, 2019 This repository implements the paper "Eigenvectors from Eigenvalues" that "relates the norm squared of the elements of eigenvectors to the eigenvalues and the submatrix eigenvalues." Implementation is in PyTorch, enabling deployment on CPU and GPU for ...
Ritchie Ng
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Моделирование и анализ информационных систем, 2016 For a second order equation with a small factor at the highest derivative the asymptotic behavior of all eigenvalues of periodic and antiperiodic problems is studied. The main assumption is that the coefficient at the first derivative in the equation is the
S. A. Kashchenko
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Inverse Nodal Problem for Polynomial Pencil of a Sturm-Liouville Operator from Nodal Parameters [PDF]
Mathematics Interdisciplinary Research, 2021 A Sturm-Liouville problem with n-potential functions in the second order differential equation and which contains spectral parameter depending on linearly in one boundary condition is considered.
Sertac Goktas, Esengul Biten
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Моделирование и анализ информационных систем, 2017 The article considers asymptotic distribution of characteristic constants in periodic and antiperiodic boundary-value problems for the second-order linear equation with periodic coefficients.
Sergey A. Kashchenko
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Complex Eigenvalue Analysis of Multibody Problems via Sparsity-Preserving Krylov–Schur Iterations
Machines, 2023 In this work, we discuss the numerical challenges involved in the computation of the complex eigenvalues of damped multi-flexible-body problems. Aiming at the highest generality, the candidate method must be able to deal with arbitrary rigid body modes ...
Dario Mangoni +2 more
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A problem concerning graphs with just three distinct eigenvalues [PDF]
, 2020 We investigate the problem of finding all the biregrular graphs with just three adjacency eigenvalues, one of which is an eigenvalue ≠ -1, 0 of maximal possible ...
Rowlinson, Peter
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Stability and Phase Portraits for Simple Dynamical Systems
Civil and Environmental Engineering, 2018 In structural dynamics models of mechanical oscillator and vibration analysis are of great importance. In this article motion of mechanical oscillator is modelled using second order linear autonomous differential systems.
Kúdelčíková Mária, Merčiaková Eva
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Mathematics, 2022 In this paper, we first derive a family of iterative schemes with fourth order. A weight function is used to maintain its optimality. Then, we transform it into methods with several self-accelerating parameters to reach the highest possible convergence ...
Malik Zaka Ullah +3 more
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