On the confidence region of a vector parameter
Júlia Volaufová (1980)
Mathematica Slovaca
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Júlia Volaufová (1980)
Mathematica Slovaca
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Heinz Neudecker (2000)
Qüestiió
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This note contains a transparent presentation of the matrix Haffian. A basic theorem links this matrix and the differential ofthe matrix function under investigation, viz ∇F(X) and dF(X). Frequent use is being made of matrix derivatives as developed by Magnus and Neudecker.
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.
Pavel Kovanic (1979)
Kybernetika
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Lubomír Kubáček (1983)
Mathematica Slovaca
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Meenakshi, Ar., Anandam, N. (1992)
International Journal of Mathematics and Mathematical Sciences
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Jarkko Isotalo, Simo Puntanen, George P.H. Styan (2008)
Discussiones Mathematicae Probability and Statistics
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In this paper we comment on some papers written by Jerzy K. Baksalary. In particular, we draw attention to the development process of some specific research ideas and papers now that some time, more than 15 years, has gone after their publication.