Exponential polar factorization of the fundamental matrix of linear differential systems

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Exponential polar factorization of the fundamental matrix of linear differential systems

We propose a new constructive procedure to factorize the fundamental real matrix of a linear system of differential equations as the product of the exponentials of a symmetric and a skew-symmetric matrix. Both matrices are explicitly constructed as series whose terms are computed recursively. The procedure is shown to converge for sufficiently small times. In this way, explicit exponential repr...

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ژورنال

عنوان ژورنال: Journal of Computational and Applied Mathematics

سال: 2014

ISSN: 0377-0427

DOI: 10.1016/j.cam.2014.03.003