Structure preserving stratification of skew-symmetric matrix polynomials
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DOI: 10.1016/j.laa.2017.06.044
Abstract: We study how elementary divisors and minimal indices of a skew-symmetric matrix polynomial of odd degree may change under small perturbations of the matrix coefficients. We investigate these change ... read more here.
Keywords: symmetric matrix; structure preserving; stratification skew; skew symmetric ... See more keywords
Generic skew-symmetric matrix polynomials with fixed rank and fixed odd grade
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DOI: 10.1016/j.laa.2017.09.006
Abstract: We show that the set of m×m complex skew-symmetric matrix polynomials of odd grade d, i.e., of degree at most d, and (normal) rank at most 2r is the closure of the single set of matrix polynomials ... read more here.
Keywords: symmetric matrix; skew symmetric; matrix; odd grade ... See more keywords
New Stability Results of an ABC Fractional Differential Equation in the Symmetric Matrix-Valued FBS
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DOI: 10.3390/sym14122667
Abstract: By using a class of aggregation control functions, we introduce the concept of multiple-HU-OS1-stability and get an optimum approximation for a nonlinear single fractional differential equation (NS-ABC-FDE) with a Mittag–Leffler kernel. We apply an alternative… read more here.
Keywords: differential equation; matrix valued; fractional differential; stability ... See more keywords