Single particle analysis and Iteration method


Pei-Syun Wu
2010-05-28  12:30 - 14:30
Room 405, Mathematics Research Center Building (ori. New Math. Bldg.)

All electron image data are two-dimensional projections of a three-dimensional object along the path of the electron beam. To obtain an object's three-dimensional Coulomb potential function, one must have image data from different angles. Such data can be obtained by different means, depending on the symmetry of the object under study. However, the more recent mathematical tool of using eigenvector and cluster analysis to group images of individual molecules. As using PCA we have to solve its eigenvalue and eigenvector to do data reduction, but the covariance matrix here is a large matrix. Therefore, we use iteration method (Arnoldi Iteration) for solving eigenvalue problem. In this talk I will discuss Single particle analysis and Arnoldi Iteration.