Ela the Eigenvalue Distribution of Block Diagonally Dominant Matrices and Block H−matrices
نویسندگان
چکیده
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.
منابع مشابه
Ela the Eigenvalue Distribution of Schur Complements of Nonstrictly Diagonally Dominant Matrices and General H−matrices∗
The paper studies the eigenvalue distribution of Schur complements of some special matrices, including nonstrictly diagonally dominant matrices and general H−matrices. Zhang, Xu, and Li [Theorem 4.1, The eigenvalue distribution on Schur complements of H-matrices. Linear Algebra Appl., 422:250–264, 2007] gave a condition for an n×n diagonally dominant matrix A to have |JR+(A)| eigenvalues with p...
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