The polynomial numerical hulls of Jordan blocks and related matrices
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- 作者：Faber ; Vance ; Greenbaum ; Anne ; Marshall ; Donald E.
- 关键词：Polynomial numerical hull ; Jordan block ; Toeplitz matrix ; Nonnormal matrix
- 刊名：Linear Algebra and its Applications
- 出版年：2003
- 出版时间：November 15, 2003
- 年：2003
- 卷：374
- 期：Complete
- 页码：231-246
- 全文大小：211 K
文摘
The polynomial numerical hull of degree k for a square matrix A is a set designed to give useful information about the norms of polynomial functions of the matrix; it is defined as Formula Not Shown Whilethese sets have been computed numerically for a number of matrices, the computations have not been verified analytically in most cases.