Author:
Fisher Michael E.,Fuller A. T.
Abstract
In this note we show that if a real square matrix P fulfils certain rather general conditions then there exists a real diagonal matrix D such that the characteristic equation of DP is stable and, furthermore, aperiodic. (A characteristic equation is called stable if the real parts of its roots are all negative. If the roots are all real and simple the equation is said to be aperiodic; see Fuller(3).)
Publisher
Cambridge University Press (CUP)
Reference7 articles.
1. Ueber die Bedingungen, unter welchen eine Gleichung nur Wurzeln mit negativen reellen Theilen besitzt
2. (2) Fisher M. E. The solution of problems in theoretical physics by electronic analogue methods, Ph.D. Thesis (London, 1957) § 11.5.
3. Solving linear algebraic equations can be interesting
4. On the continuous solution of integral equations by an electronic analogue. I
5. (5) Householder A. S. On the convergence of matrix iterations, United States Atomic Energy Commission Report ORNL-1883 (1955).
Cited by
55 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献