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Symmetric spectral factorisation of self-adjoint rational matrix functions

Published online by Cambridge University Press:  17 April 2009

G.J. Groenewald  and
M.A. Petersen
G.J. Groenewald
Affiliation:
Department of Mathematics and Applied MathematicsUniversity of the Western CapePrivate Bag X17Bellville 7535South Africa
M.A. Petersen
Affiliation:
Department of Mathematics and Applied MathematicsUniversity of the Western CapePrivate Bag X17Bellville 7535South Africa
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Abstract

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For a self-adjoint rational matrix function, not necessarily analytic at infinity, the existence of a right (symmetric) spectral factorisation is described in terms of a given left spectral factorisation. The formula for the right spectral factor is given in terms of the formula for the given left spectral factor. All formulas are based on a special realisation of a rational matrix function, which is different from ones that have been used before.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 56 , Issue 1 , August 1997 , pp. 95 - 107
Copyright
Copyright © Australian Mathematical Society 1997

References

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