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math.OC2024
General Constrained Matrix Optimization
Casey Garner, Gilad Lerman, Shuzhong Zhang
This paper presents and analyzes the first matrix optimization model which allows general coordinate and spectral constraints. The breadth of problems our model covers is exemplifi…
math.OC2024
Novel Optimization Techniques for Parameter Estimation
Chenyu Wu, Nuozhou Wang, Casey Garner +2
In this paper, we introduce a new optimization algorithm that is well suited for solving parameter estimation problems. We call our new method cubic regularized Newton with affine…
math.OC2023
Spectrally Constrained Optimization
Casey Garner, Gilad Lerman, Shuzhong Zhang
We investigate how to solve smooth matrix optimization problems with general linear inequality constraints on the eigenvalues of a symmetric matrix. We present solution methods to…