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Solutions of the matrix inequalities in the minus partial ordering and Löwner partial ordering
, 2013 Two matrices A and B of the same size are said to satisfy the minus partial ordering, denoted by B − A , iff the rank subtractivity equality rank(A−B) = rank(A)− rank(B) holds; two complex Hermitian matrices A and B of the same size are said to satisfy ...
Yongge Tian
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Sufficient conditions for complete positivity
, 2011 Marcus and Minc gave sufficient conditions on the diagonal entries of a doubly nonnegative doubly stochastic n×n matrix A , that there is a doubly nonnegative doubly stochastic matrix C with A = C2 . In this event, A is completely positive.
Robert Reams
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Patterns with several multiple eigenvalues
Special Matrices, 2014 Identified are certain special periodic diagonal matrices that have a predictable number of pairedeigenvalues. Since certain symmetric Toeplitz matrices are special cases, those that have several multiple 5eigenvalues are also investigated further.
Dorsey J., Johnson C.R., Wei Z.
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On the Laplacian index of tadpole graphs
Special MatricesIn this article, we study the Laplacian index of tadpole graphs, which are unicyclic graphs formed by adding an edge between a cycle Ck{C}_{k} and a path Pn{P}_{n}.
Braga Rodrigo O., Veloso Bruno S.
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Peripheral Blood Genetic Biomarkers for the Early Diagnosis of Hepatocellular Carcinoma. [PDF]
Front Oncol, 2021 Song T +9 more
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Testosterone inhibits early atherogenesis by conversion to estradiol: critical role of aromatase. [PDF]
Proc Natl Acad Sci U S A, 2001 Nathan L +6 more
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Equalities for orthogonal projectors and their operations
Open Mathematics, 2010 Tian Yongge
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Inertias and ranks of some Hermitian matrix functions with applications
Open Mathematics, 2012 Zhang Xiang, Wang Qing-Wen, Liu Xin
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Circulant Hadamard matrices and Hermitian circulant complex Hadamard matrices
, 2021We prove that there exists a circulant Hadamard matrix of order n if and only if there exists a Hermitian circulant complex Hadamard matrix of order n and that there does not exist a Butson-type Hermitian circulant complex Hadamard matrix of order n > 4.
Norichika Matsuki
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