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Factorization Algorithm for Some Special Non-rational Matrix Functions

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Topics in Operator Theory

Abstract

We construct an algorithm that allows us to determine an effective generalized factorization of a special class of matrix functions. We use the same algorithm to analyze the spectrum of a self-adjoint operator which is related to the obtained generalized factorization.

This research was partially supported by CEAF at Instituto Superior Técnico (Portugal).

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Communicated by I.M. Spitkovsky.

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Conceição, A.C., Kravchenko, V.G., Pereira, J.C. (2010). Factorization Algorithm for Some Special Non-rational Matrix Functions. In: Topics in Operator Theory. Operator Theory: Advances and Applications, vol 202. Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0158-0_6

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