期刊名称:International Journal of Applied Mathematics and Computer Science
电子版ISSN:2083-8492
出版年度:2002
卷号:12
期号:4
出版社:De Gruyter Open
摘要:A novel procedure is given here for constructing non-negative functions with zero-valued global minima coinciding with eigenvectors of a general real matrix A . Some of these functions are distinct because all their local minima are also global, offering a new way of determining eigenpairs by local optimization. Apart from describing the framework of the method, the error bounds given separately for the approximation of eigenvectors and eigenvalues provide a deeper insight into the fundamentally different nature of their approximations