3 papers
math.NA2023
2D Eigenvalue Problem III: Convergence Analysis of the 2D Rayleigh Quotient Iteration
Tianyi Lu, Yangfeng Su, Zhaojun Bai
In Part I of this paper, we introduced a two dimensional eigenvalue problem (2DEVP) of a matrix pair and investigated its fundamental theory such as existence, variational characte…
math.NA2022
2D Eigenvalue Problem II: Rayleigh Quotient Iteration and Applications
Tianyi Lu, Yangfeng Su, Zhaojun Bai
In Part I of this paper, we introduced a 2D eigenvalue problem (2DEVP) and presented theoretical results of the 2DEVP and its intrinsic connetion with the eigenvalue optimizations.…
math.NA2019
2D Eigenvalue Problem I: Existence and Number of Solutions
Yangfeng Su, Tianyi Lu, Zhaojun Bai
A two dimensional eigenvalue problem (2DEVP) of a Hermitian matrix pair is introduced in this paper. The 2DEVP can be viewed as a linear algebraic formulation of the well-…