Abstract
The techniques of scattering and inverse scattering theory are used to investigate the properties of matrix orthogonal polynomials. The discrete matrix analog of the Jost function is introduced and its properties investigated. The matrix distribution function with respect to which the polynomials are orthonormal is constructed. The discrete matrix analog of the Marchenko equation is derived and used to obtain further results on the matrix Jost function and the distribution function.
Received August 31, 1981; revised March 8, 1982. This work was supported in part by NSF Grant MCS-8002731.
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Geronimo, J.S. (1982). Scattering Theory and Matrix Orthogonal Polynomials on the Real Line. In: Bultheel, A., Dewilde, P. (eds) Rational Approximation in Systems Engineering. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4899-6790-9_15
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DOI: https://doi.org/10.1007/978-1-4899-6790-9_15
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