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math.OC2025
A Variational Characterization and A Line Search Newton-Noda Method for the unifying spectral problem of nonnegative tensors
Jiefeng Xu, Xueli Bai, Dong-Hui Li
We study the general -eigenvalue problem of nonnegative tensors introduced by A. Gautier, F. Tudisco, and M. Hein [SIAM J. Matrix Anal. Appl., 40 (2019),…
math.OC2022
Feasible Newton's methods for symmetric tensor Z-eigenvalue problems
Dong-hui Li, Xueli Bai, Jiefeng Xu
Finding a Z-eigenpair of a symmetric tensor is equivalent to finding a KKT point of a sphere constrained minimization problem. Based on this equivalency, in this paper, we first pr…