Approximating and computing nonlinear matrix differential models

NOTICE: this is the author’s version of a work that was accepted for publication in Mathematical and Computer Modelling. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Mathematical and Computer Modelling Volume 55, Issues 7–8, April 2012, Pages 2012–2022 DOI: 10.1016/j.mcm.2011.11.060