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111/10/04 14:00 臺灣海洋大學海洋工程科技中心劉進賢榮譽講座教授 演講

演講公告
張貼人:網站管理員公告日期:2022-09-27
 
演 講 公 告
 

講題:矩陣特徵值問題的快速算法

 

主講人:劉進賢 榮譽講座教授

臺灣海洋大學海洋工程科技中心


 

時間:10月04日(星期二)下午2點
 

地點:中央大學科學一館S-325教室
 

摘要:
 
  To solve the eigenvalue problem of a matrix with large size by the novel algorithms, we express the n-dimensional eigenvector by the superposition of a constant shifting vector and an m-vector in the m-dimensional affine Krylov subspace. The m-vector is solved to be a function of eigenvalue from a non-homogeneous linear system. Maxmizing the Rayleigh quotient or using a new quotient, characteristic equations can be generated and be solved by the Newton method or the fictitious time integration method. Then, we develop simple iterative detection methods of the eigenvalues for both symmetric, nonsymmetric eigenvalue problem and also generalized eigenvalue problem, which appear as the peaks of the curve of the Euclidean norm of the eigenvector vs. eigenvalue. Through a few finer tunings to the smaller intervals sequentially, very accurate eigenvalue can be obtained.
 
最後修改時間:2022-09-27 PM 5:54

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