Piecewise interpolants on matrix lie groups

✍ Scribed by C. Mastroserio; T. Politi

• Book ID: 104349168
• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 359 KB
• Volume: 14
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/s0893-9659(00)00158-0

✦ Synopsis

Here we consider a numerical procedure to interpolate on matrix Lie groups. By using the exponential map and its (1, 1) diagonal Pad@ approximant, piecewice interpolants may be derived. The approach based on the Pad@ map has the advantage that the computation of exponentials and logarithms of matrices are reduced. We show that the updating technique proposed by Enright in [1] may be applied when a dense output is required. The application to the numerical solution of a system ODEs on matrix group and to a classical interpolation problem are reported. (~) 2001 Elsevier Science Ltd. All rights reserved.