-matrices and Lyapunov scalar stability.
Hershkowitz, Daniel, Mashal, Nira (1998)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Hershkowitz, Daniel, Mashal, Nira (1998)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Zahreddine, Ziad (2003)
International Journal of Mathematics and Mathematical Sciences
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Serkan T. Impram, Russell Johnson, Raffaella Pavani (2005)
Archivum Mathematicum
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We give detailed discussion of a procedure for determining the robust -stability of a real matrix. The procedure begins from the Hurwitz stability criterion. The procedure is applied to two numerical examples.
Charles S. Kahane (1992)
Czechoslovak Mathematical Journal
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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.