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03/09/2023
2D Eigenvalue Problem III: Convergence Analysis of the 2D Rayleigh Quotient Iteration
In Part I of this paper, we introduced a two dimensional eigenvalue prob...
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11/21/2022
A Bi-level Nonlinear Eigenvector Algorithm for Wasserstein Discriminant Analysis
Much like the classical Fisher linear discriminant analysis, Wasserstein...
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11/09/2022
Variational Characterization of Monotone Nonlinear Eigenvector Problems and Geometry of Self-Consistent-Field Iteration
This paper concerns a class of monotone eigenvalue problems with eigenve...
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10/28/2022
Scalable Spectral Clustering with Group Fairness Constraints
There are synergies of research interests and industrial efforts in mode...
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09/24/2022
2D Eigenvalue Problem II: Rayleigh Quotient Iteration and Applications
In Part I of this paper, we introduced a 2D eigenvalue problem (2DEVP) a...
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05/04/2021
Backward Stability of Explicit External Deflation for the Symmetric Eigenvalue Problem
A thorough backward stability analysis of Hotelling's deflation, an expl...
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09/18/2020
Optimal Convergence Rate of Self-Consistent Field Iteration for Solving Eigenvector-dependent Nonlinear Eigenvalue Problems
We present a comprehensive convergence analysis for Self-Consistent Fiel...
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11/19/2019
2D Eigenvalue Problems I: Existence and Number of Solutions
A two dimensional eigenvalue problem (2DEVP) of a Hermitian matrix pair ...
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11/07/2019
Linear Constrained Rayleigh Quotient Optimization: Theory and Algorithms
We consider the following constrained Rayleigh quotient optimization pro...
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10/18/2019
On the shift-invert Lanczos method for the buckling eigenvalue problem
We consider the problem of extracting a few desired eigenpairs of the bu...
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09/25/2019