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On the stabilization of matrices and the convergence of linear iterative processes

Published online by Cambridge University Press:  24 October 2008

Michael E. Fisher  and
A. T. Fuller
Michael E. Fisher
Affiliation:
Wheatstone Physics LaboratoryKing's College, London
A. T. Fuller
Affiliation:
Department of EngineeringUniversity of Cambridge
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Extract

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).)

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 54 , Issue 4 , October 1958 , pp. 417 - 425
Copyright
Copyright © Cambridge Philosophical Society 1958

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References

REFERENCES

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