Schur complements of diagonally dominant matrices
David Carlson, Thomas L. Markham (1979)
Czechoslovak Mathematical Journal
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David Carlson, Thomas L. Markham (1979)
Czechoslovak Mathematical Journal
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Haynes, Tyler (1989)
International Journal of Mathematics and Mathematical Sciences
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Fallat, Shaun M., Tsatsomeros, Michael J. (2002)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Xiao-Dong Zhang, Chang-Xing Ding (2009)
Czechoslovak Mathematical Journal
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In this paper, necessary and sufficient conditions for equality in the inequalities of Oppenheim and Schur for positive semidefinite matrices are investigated.
Lee, Moon Ho, Feng, Gui-Liang, Chen, Zhu (2008)
Mathematical Problems in Engineering
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Rafael Bru, Ljiljana Cvetković, Vladimir Kostić, Francisco Pedroche (2010)
Open Mathematics
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This paper deals with some properties of α1-matrices and α2-matrices which are subclasses of nonsingular H-matrices. In particular, new characterizations of these two subclasses are given, and then used for proving algebraic properties related to subdirect sums and Hadamard products.
Mika Mattila, Pentti Haukkanen (2016)
Special Matrices
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Let T = {z1, z2, . . . , zn} be a finite multiset of real numbers, where z1 ≤ z2 ≤ · · · ≤ zn. The purpose of this article is to study the different properties of MIN and MAX matrices of the set T with min(zi , zj) and max(zi , zj) as their ij entries, respectively.We are going to do this by interpreting these matrices as so-called meet and join matrices and by applying some known results for meet and join matrices. Once the theorems are found with the aid of advanced methods, we also...