Browsing Faculty of Natural and Agricultural Sciences by Subject "Inverse problem"
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The discrete twofold Ellis–Gohberg inverse problem
(Elsevier, 2017)In this paper a twofold inverse problem for orthogonal matrix functions in the Wiener class is considered. The scalar-valued version of this problem was solved by Ellis and Gohberg in 1992. Under reasonable conditions, the ... -
The twofold Ellis-Gohberg inverse problem for rational matrix functions on the real line
(Springer, 2020)From the mid-1980s R.L. Ellis, I. Gohberg and D.C. Lay wrote several papers on systems of orthogonal matrix polynomials and matrix functions, culminating in the monograph [3] by Ellis and Gohberg, where additional background ... -
The twofold Ellis-Gohberg inverse problem in an abstract setting and applications
(Springer, 2019)In this paper we consider a twofold Ellis–Gohberg type inverse problem in an abstract *-algebraic setting. Under natural assumptions, necessary and sufficient conditions for the existence of a solution are obtained, and ...