Approximating and computing nonlinear matrix differential models

作者：Defez E^*; Tung M M; Ibanez J J; Sastre J

来源：Mathematical and Computer Modelling, 2012, 55(7-8): 2012-2022.

DOI：10.1016/j.mcm.2011.11.060

• Higher-order matrix splines
• First-order matrix differential equations

Differential matrix models are an essential ingredient of many important scientific and engineering applications. In this work, we propose a procedure to represent the solutions of first-order matrix differential equations Y%26apos;(x) = f(x, Y(x)) with approximate matrix splines. For illustration of the method, we choose one scalar example, a simple vector model, and finally a Sylvester matrix differential equation as a test.

• 出版日期2012-4