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THE EIGENVALUE DISTRIBUTION OF BLOCK DIAGONALLY DOMINANT MATRICES AND BLOCK H−MATRICES ∗

By Cheng-yi Zhang, Shuanghua Luo, Aiqun Huang and Junxiang Lu

Abstract

Abstract. The paper studies the eigenvalue distribution of some special matrices, including block diagonally dominant matrices and block H−matrices. A well-known theorem of Taussky on the eigenvalue distribution is extended to such matrices. Conditions on a block matrix are also given so that it has certain numbers of eigenvalues with positive and negative real parts

Topics: Key words. Eigenvalues, Block diagonally dominant, Block H−matrix, Non-Hermitian positive
Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.373.2392
Provided by: CiteSeerX
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