Some properties of matrix sign functions derived from continued fractions
- 1 January 1983
- journal article
- Published by Institution of Engineering and Technology (IET) in IEE Proceedings D Control Theory and Applications
- Vol. 130 (3) , 111-118
- https://doi.org/10.1049/ip-d.1983.0020
Abstract
This paper proposes an alternate representation of a matrix sign function based on an irrational function described by a continued fraction. The properties of the continued fraction and the truncated continued fractions are investigated. Also, new algorithms for computing the matrix sign function are developed. The matrix sign function is then extended to a generalised matrix sign function for directly solving discrete-time system problems.Keywords
This publication has 1 reference indexed in Scilit:
- Linear model reduction and solution of the algebraic Riccati equation by use of the sign function†International Journal of Control, 1980