Abstract
Recently several numerical methods have been proposed for solving isospectral problems which are matrix differential systems whose solutions preserve the spectrum during the evolution. In this paper we consider matrix differential systems called isodynamical flows in which only a component of the matrix solution preserves the eigenvalues during the evolution and we propose procedures for their numerical solution. Applications of such numerical procedures may be found in systems theory, in particular in balancing realization problems. Several numerical tests will be reported.
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Received April 27, 2001; revised October 25, 2001 Published online February 18, 2002
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Del Buono, N., Lopez, L. & Mastroserio, C. Runge Kutta Type Methods for Isodynamical Matrix Flows: Applications to Balanced Realizations. Computing 68, 255–274 (2002). https://doi.org/10.1007/s00607-001-1437-6
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DOI: https://doi.org/10.1007/s00607-001-1437-6