A chain of factored matrices for Routh array inversion and continued fraction inversion†
- 1 April 1971
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 13 (4), 691-703
- https://doi.org/10.1080/00207177108931976
Abstract
A chain of factored matrices is derived for formulating the Routh array if the first column of the array is known. The factored matrices may be used to perform the conversion of a continued fraction into a rational function. A set of tables based on the second Cauer form of continued fraction expansion is also included. These tables are the approximated rational functions for the commonly used irrational function √ and the transcendental function e s .Keywords
This publication has 5 references indexed in Scilit:
- Analysis of Irrational Transfer Functions for Distributed-Parameter SystemsIEEE Transactions on Aerospace and Electronic Systems, 1969
- Continued Fraction Inversion by Routh's AlgorithmIEEE Transactions on Circuit Theory, 1969
- Comment on "A remark on Routh́s array"IEEE Transactions on Automatic Control, 1967
- A matrix for evaluating Schwarz's formIEEE Transactions on Automatic Control, 1966
- Polynomials Whose Zeros Have Negative Real PartsThe American Mathematical Monthly, 1945