Ovals of Cassini for Toeplitz matrices
Ovals of Cassini for Toeplitz matrices
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DOI：
10.1080/03081087.2011.580280
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发表时间：
2012-01
影响因子：
1.1
通讯作者：
A. Melman
中科院分区：
文献类型：
--
作者：
A. Melman
Both the Gershgorin and Brauer eigenvalue inclusion sets reduce to a single disc when applied to a matrix with a constant main diagonal. We show that a union of ovals of Cassini containing all the eigenvalues of such a matrix can nonetheless be derived and that this union is guaranteed to lie inside the Brauer set. We then apply our results to Toeplitz matrices.
