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Questions where the notion matrix has an important or crucial role (for the latter, note the tag matrix-theory for potential use). Matrices appear in various parts of mathematics, and this tag is typically combined with other tags to make the general subject clear, such as an appropriate top-level tag ra.rings-and-algebras, co.combinatorics, etc. and other tags that might be applicable. There are also several more specialized tags concerning matrices.
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A family of skew-symmetric matrices corresponding to cycles in graphs
Basically anything related to matrices satisfying (i)-(iv) would be of interest to me.
Note: in the (applied) literature on Markov chains I have found one other reference to these matrices. … They prove a couple of interesting results related to such matrices but do not provide a reference to any literature on this topic. The notion of skew-adjacency matrices (see e.g. …
3
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On the solution of a generalized Lyapunov equation
In a paper of me of a few years ago, Estimate on the Pathwise Lyapunov Exponent of Linear Stochastic Differential Equations with Constant Coefficients, Theorem 3.6 gives sufficient conditions. The pro …