Matrices with a strictly dominant eigenvalue
نویسندگان
چکیده
منابع مشابه
Subdirect Sums of S-strictly Diagonally Dominant Matrices *
Conditions are given which guarantee that the k-subdirect sum of S-strictly diagonally dominant matrices (S-SDD) is also S-SDD. The same situation is analyzed for SDD matrices. The converse is also studied: given an SDD matrix C with the structure of a k-subdirect sum and positive diagonal entries, it is shown that there are two SDD matrices whose subdirect sum is C. AMS subject classifications...
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Generalized strictly diagonally dominant matrices have wide applications in science and engineering, but it is very difficult to determine whether a given matrix is a generalized strictly diagonally dominant matrix or not in practice. In this paper, we give several practical conditions for generalized strictly diagonally dominant matrices by constructing different positive diagonal matrix and a...
متن کاملConvergence of GAOR Iterative Method with Strictly α Diagonally Dominant Matrices
Guangbin Wang, Hao Wen, and Ting Wang Department of Mathematics, Qingdao University of Science and Technology, Qingdao 266061, China Correspondence should be addressed to Guangbin Wang, [email protected] Received 11 June 2011; Revised 20 September 2011; Accepted 22 September 2011 Academic Editor: Yongkun Li Copyright q 2011 Guangbin Wang et al. This is an open access article distributed ...
متن کاملEla the Eigenvalue Distribution of Block Diagonally Dominant Matrices and Block H−matrices
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.
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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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ژورنال
عنوان ژورنال: Elemente der Mathematik
سال: 2001
ISSN: 0013-6018,1420-8962
DOI: 10.1007/s000170050088