非单项式基底的非线性特征值问题误差分析及相关预处理技术研究
12001262
2020
A0502.数值代数
谌鸿佳
青年科学基金项目
副教授
南昌大学
24万元
广义特征值问题;条件数和扰动分析;向后误差;多项式特征值问题
2021-01-01到2023-12-31
- 中英文摘要
- 结题摘要
- 结题报告
- 项目成果
- 项目参与人
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| 序号 | 标题 | 类型 | 作者 |
|---|---|---|---|
| 1 | The tropical scaling for the polynomial eigenvalue problem solved by a contour integral method | 期刊论文 | Hongjia Chen;Ke Zhang;Tetsuya Sakurai |
| 2 | Spectral clustering based on the local similarity measure of shared neighbors | 期刊论文 | Zongqi Cao;Hongjia Chen;Xiang Wang |
| 3 | On the Backward Error Incurred by the Compact Rational Krylov Linearization | 期刊论文 | Hongjia Chen;Kuan Xu |
| 4 | Backward error analysis of linearizing-balancing strategies for heavily damped quadratic eigenvalue problem | 期刊论文 | Hongjia Chen;Lei Du;Zongqi Cao |
| 5 | On the conditioning for heavily damped quadratic eigenvalue problem solved by linearizations | 期刊论文 | Zongqi Cao;Xiang Wang;Hongjia Chen |
| 6 | A novel spectral clustering algorithm based on neighbor relation and Gaussian kernel function with only one parameter | 期刊论文 | Hao Zhou;Zekun Wang;Hongjia Chen;Xiang Wang |
| 7 | New backward error bounds of Rayleigh–Ritz projection methods for quadratic eigenvalue problem | 期刊论文 | Teng Wang;Mei Feng;Xiang Wang;Hongjia Chen |
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