This paper is concerned with the numerical solution of an implicit matrix differential system of the form YTẎ - F(t, Y) = 0, where Y(t) is a n x n real matrix which may converge to a singular matrix. We propose a hybrid numerical technique based on an implicit second order Runge Kutta scheme which derives a particular algebraic Riccati equation and via its solution approximates the solutions of the differential problem at hand. Numerical examples demonstrating the behavior of the proposed approach are also reported. © Springer-Verlag Berlin Heidelberg 2004.
CITATION STYLE
Del Buono, N., & Lopez, L. (2004). A hybrid numerical technique for the solution of a class of implicit matrix differential equation. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 3039, 459–466. https://doi.org/10.1007/978-3-540-25944-2_60
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