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  • 标题:Inequality-based approximation of matrix eigenvectors
  • 本地全文:下载
  • 作者:András Kocsor ; József Dombi ; Imre Bálint
  • 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
  • 关键词:eigenvectors; eigenvalues; inequalities; error bounds; iterative methods
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