Parameter optimization of orthonormal basis functions for efficient rational approximations

摘要

In this paper, the authors present an efficient procedure for optimal placement of poles in rational approximations by Muntz-Laguerre functions. The technique is formulated as the minimization of a quadratic criterion and the linear equations involved are efficiently expressed using the orthonormal basis functions. The presented technique has direct application in rational approximation and model order reduction of large-degree or infinite-dimensional systems.