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Original Articles

Matrices eigenvalues, and directed graphs

Pages 143-165 | Published online: 02 Apr 2008

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Gang Wang, Yanan Wang & Yiju Wang. (2020) Some Ostrowski-type bound estimations of spectral radius for weakly irreducible nonnegative tensors. Linear and Multilinear Algebra 68:9, pages 1817-1834.
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Lizhu Sun, Baodong Zheng, Yimin Wei & Changjiang Bu. (2016) Characterizations of the spectral radius of nonnegative weakly irreducible tensors via a digraph. Linear and Multilinear Algebra 64:4, pages 737-744.
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Chaoqian Li, Qingbing Liu & Yaotang Li. (2015) Geršgorin-type and Brauer-type eigenvalue localization sets of stochastic matrices. Linear and Multilinear Algebra 63:11, pages 2159-2170.
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Chaoqian Li & Yaotang Li. (2014) New regions including eigenvalues of Toeplitz matrices. Linear and Multilinear Algebra 62:2, pages 229-241.
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A. Melman. (2013) A single oval of Cassini for the zeros of a polynomial. Linear and Multilinear Algebra 61:2, pages 183-195.
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F. O. Farid, Qing-Wen Wang & Fuzhen Zhang. (2011) On the eigenvalues of quaternion matrices. Linear and Multilinear Algebra 59:4, pages 451-473.
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A. Melman. (2010) An alternative to the Brauer set. Linear and Multilinear Algebra 58:3, pages 377-385.
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Richard A. Brualdi & Stephen Mellendorf. (1994) Regions in the Complex Plane Containing the Eigenvalues of a Matrix. The American Mathematical Monthly 101:10, pages 975-985.
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Robert C. Thompson. (1987) Research problem the matrix numerical range. Linear and Multilinear Algebra 21:3, pages 321-323.
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Yangyang Xu, Bing Zheng & Ruijuan Zhao. (2020) Some improved Ky Fan type eigenvalue inclusion sets for tensors. Calcolo 57:4.
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Yangyang Xu, Bing Zheng & Ruijuan Zhao. (2019) Some results on Brauer-type and Brualdi-type eigenvalue inclusion sets for tensors. Computational and Applied Mathematics 38:2.
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Farid O. Farid. (2017) On Classes of Matrices with Variants of the Diagonal Dominance Property. Advances in Linear Algebra & Matrix Theory 07:02, pages 37-65.
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Chaoqian Li & Yaotang Li. (2016) Relationships between Brauer-type eigenvalue inclusion sets and a Brualdi-type eigenvalue inclusion set for tensors. Linear Algebra and its Applications 496, pages 71-80.
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