Iterative Matrix Computations and Applications

9201105 Plemmons本项目将有两名本科生参与。其中一人将致力于开发信号处理中线性估计的迭代方法。工作包括为共轭梯度迭代算法开发有效的基于fft的预条件。另一名学生将研究变形镜自适应控制中的矩阵特征值方法。矩阵计算在天文和航空光学成像的航空光学应用中起着重要的作用。将利用天文设施的数据进行数值实验。＊＊＊

9201105 Plemmons Two undergraduate students will be involved in this project. One of them will work on developing iterative methods for linear estimation in signal processing. The work includes developing effective FFT-based preconditioners for conjugate gradient iterative algorithms. The other student will study matrix eigenvalue methods in the adaptive control of deformable mirrors. Matrix computations play an important role in aero-optics applications for astronomical and aero-optic imaging. Numerical experimentation will be undertaken, using data from an astronomical facility. ***