Interpolation algorithm for computing Drazin inverse of polynomial matrices

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• 作者：Marko D. Petković ; ; Predrag S. Stanimirović
• 关键词：Drazin inverse ; Interpolation ; sans-serif">MATHEMATICA ; Leverrier– ; Faddeev method ; Polynomial matrices ; Symbolic computation
• 刊名：Linear Algebra and its Applications
• 出版年：2007
• 期刊代码：38_00243795
• 类别：mt
• 出版时间：15 April 2007
• 卷：422
• 期：2-3
• 页码：526-539
• 文件大小：166 K

摘要

In this paper we introduce an interpolation method for computing the Drazin inverse of a given polynomial matrix. This method is an extension of the known method from [A. Schuster, P. Hippe, Inversion of polynomial matrices by interpolation, IEEE Trans. Automat. Control 37 (3) (1992) 363–365], applicable to usual matrix inverse. Also, we improve our interpolation method, using a more effective estimation of degrees of polynomial matrices generated in Leverrier–Faddeev method. Algorithms are implemented and tested in the symbolic package MATHEMATICA.