Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-28T13:30:38.393Z Has data issue: false hasContentIssue false
  • English
  • Français

The approach to scalar growth of a vector transformed by an increasing power of a matrix

Published online by Cambridge University Press:  24 October 2008

S. N. Afriat  and
H. G. Eggleston
S. N. Afriat
Affiliation:
Department of Applied EconomicsCambridge
Get access Rights & Permissions [Opens in a new window]

Extract

The solution of a system of simultaneous homogeneous linear differential equations with constant coefficients has been obtained (1) in the form

where the elements of the vector Z are the k functions determined by the system and their derivatives of order up to m – 1, where m is the order of the system. If Zn is the value of Z at t = n, then

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 52 , Issue 2 , April 1956 , pp. 213 - 214
Copyright
Copyright © Cambridge Philosophical Society 1956

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCE

(1)Afriat, S. N.Simultaneous linear differential equations with constant coefficients. Proc. Camb. phil. Soc. 52 (1956), 209.CrossRefGoogle Scholar