uiNEPv - Locally Unitarily Invariantizable Nonlinear Eigenvector Problems

Dated 09-06-2023

Description

This folder contains testing codes and data for the locally unitarily invariantizable NEPv, as used in the paper:

[1]: Convergence of SCF for Locally Unitarily Invariantizable NEPv by Ding Lu and Ren-Cang Li, 2022. Manuscript available at: https://doi.org/10.48550/arXiv.2212.14098

Contents

• Main functions

  • @BuildTrRatio: Generate NEPv for the trace ratio optimization problem.
  • @BuildSumTrRatio: Generate NEPv for the sum of trace ratio optimization problem.
  • @RunSCF: Run SCF with level-shifting.
  • @SolveNEPv: Solve the NEPv and check the rate of convergence.

• Examples files

  • demo_SumTrRatio_X: NEPv for the sum of trace ratio optimization.
  • demo_TrRatio_X: NEPv for the trace ratio optimization.

• Other files: Supporting functions contained in the private folder.

Contact

For questions, please contact Ding.Lu@uky.edu