Title :
Solution of general Padé fitting problem via continued-fraction expansion
Author :
Hwang, Chyi ; Chen, Muh-Yang
Author_Institution :
National Cheng Kung University, Taiwan, China
fDate :
1/1/1987 12:00:00 AM
Abstract :
A computational algorithm is presented to expand a given function into the multipoint continued fractions from its power series expansions about arbitrary points, including the point at infinity. The convergents of the multipoiat continued fractions form a class of multipoint Padé approximants. An example is provided to illustrate the algorithm.
Keywords :
Approximation methods; Continued fractions; Reduced-order systems, linear; Arithmetic; Asymptotic stability; Chemical engineering; Councils; Differential equations; Eigenvalues and eigenfunctions; H infinity control; Linear matrix inequalities; Mathematics; Riccati equations;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1987.1104426