Some inequalities for sums of nonnegative definite matrices in quaternions.
Tian, Yongge, Styan, George P.H. (2005)
Journal of Inequalities and Applications [electronic only]
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Tian, Yongge, Styan, George P.H. (2005)
Journal of Inequalities and Applications [electronic only]
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Meenakshi, Ar., Anandam, N. (1992)
International Journal of Mathematics and Mathematical Sciences
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Jovan D. Kečkić (1989)
Publications de l'Institut Mathématique
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Kagan, Abram, Smith, Paul J. (1999)
Journal of Inequalities and Applications [electronic only]
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Ivana M. Radojević (2014)
Czechoslovak Mathematical Journal
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In this paper we study -EP matrices, as a generalization of EP-matrices in indefinite inner product spaces, with respect to indefinite matrix product. We give some properties concerning EP and -EP matrices and find connection between them. Also, we present some results for reverse order law for Moore-Penrose inverse in indefinite setting. Finally, we deal with the star partial ordering and improve some results given in the “EP matrices in indefinite inner product spaces” (2012), by...
Lubomír Kubáček (1997)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Werner Gautschi (1954-1956)
Compositio Mathematica
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M. Rajesh Kannan, K.C. Sivakumar (2014)
Discussiones Mathematicae - General Algebra and Applications
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Let A and B be M-matrices satisfying A ≤ B and J = [A,B] be the set of all matrices C such that A ≤ C ≤ B, where the order is component wise. It is rather well known that if A is an M-matrix and B is an invertible M-matrix and A ≤ B, then aA + bB is an invertible M-matrix for all a,b > 0. In this article, we present an elementary proof of a stronger version of this result and study corresponding results for certain other classes as well.
Tian, Yong-ge (2002)
Applied Mathematics E-Notes [electronic only]
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