Second phase matrix of differential systems
Ondřej Došlý (1987)
Časopis pro pěstování matematiky
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Displaying similar documents to “The basic properties of phase matrices of linear differential systems”
Second phase matrix of differential systems
Nonsingularity and -matrices.
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New proofs of two previously published theorems relating nonsingularity of interval matrices to -matrices are given.
Factorizations for q-Pascal matrices of two variables
Thomas Ernst (2015)
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In this second article on q-Pascal matrices, we show how the previous factorizations by the summation matrices and the so-called q-unit matrices extend in a natural way to produce q-analogues of Pascal matrices of two variables by Z. Zhang and M. Liu as follows [...] We also find two different matrix products for [...]
Intervals of certain classes of Z-matrices
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.