Some properties of matrix sign functions derived from continued fractions
Leang San Shieh, YIH TSONG TSAY, ROBERT E. YATES · IEE Proceedings D Control Theory and Applications · 1983
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.