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Symmetric spectral factorisation of self-adjoint rational matrix functions
Published online by Cambridge University Press: 17 April 2009
Abstract
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.
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- Copyright © Australian Mathematical Society 1997