On matrices with non-positive off-diagonal elements and positive principal minors
Miroslav Fiedler, Vlastimil Pták (1962)
Czechoslovak Mathematical Journal
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Displaying similar documents to “Some new results on determinantal inequalities and applications.”
On matrices with non-positive off-diagonal elements and positive principal minors
Some bounds for the spectral radius of the Hadamard product of matrices.
Cheng, Guang-Hui, Cheng, Xiao-Yu, Huang, Ting-Zhu, Tam, Tin-Yau (2005)
Applied Mathematics E-Notes [electronic only]
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The equality cases for the inequalities of Oppenheim and Schur for positive semi-definite matrices
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.
Nonsingularity and -matrices.
Jiří Rohn (1990)
Aplikace matematiky
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New proofs of two previously published theorems relating nonsingularity of interval matrices to -matrices are given.
Characterization of α1 and α2-matrices
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.
Complete solution of tropical vector inequalities using matrix sparsification
Nikolai Krivulin (2020)
Applications of Mathematics
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We examine the problem of finding all solutions of two-sided vector inequalities given in the tropical algebra setting, where the unknown vector multiplied by known matrices appears on both sides of the inequality. We offer a solution that uses sparse matrices to simplify the problem and to construct a family of solution sets, each defined by a sparse matrix obtained from one of the given matrices by setting some of its entries to zero. All solutions are then combined to present the...