Abstract
Various notions of generalized Bezoutian for families of rational matrix functions are introduced and studied. In particular, it turns out that using these Bezoutians one can describe that precise nature of the well-known correspondence between solution of matrix quadratic equations (descrete and continuous) and factorization of certain associated rational matrix functions.
The research of this author was partially supported by the USA-Israel Binational Science Foundation (BSF) Grant no. 9400271 and by the fund for promotion of research at the Technion-Israel Institute of Technology.
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Karelin, I., Lerer, L. (2001). Generalized Bezoutian, Factorization of Rational Matrix Functions and Matrix Quadratic Equations. In: Bart, H., Ran, A.C.M., Gohberg, I. (eds) Operator Theory and Analysis. Operator Theory: Advances and Applications, vol 122. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8283-5_11
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DOI: https://doi.org/10.1007/978-3-0348-8283-5_11
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