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• W3104073462 abstract "Matrix-valued covariance extension and multivariate spectral estimation are formulated as generalized moment problems in the THREE approach and its extensions. Under this context, we discuss Theorem 6 in cite{Georgiou-06} concerning the bijectivity of a moment map defined over a parametric family of spectral densities. In particular, we provide a counterexample in which the moment map under consideration is shown to have a critical point, namely a point at which the Jacobian loses rank. Then with standard techniques in bifurcation theory, we conclude further that the computed critical point is a bifurcation point, which means that the moment map is not injective." @default.
• W3104073462 created "2020-11-23" @default.
• W3104073462 creator A5035375604 @default.
• W3104073462 date "2019-07-01" @default.
• W3104073462 modified "2023-09-24" @default.
• W3104073462 title "On the Uniqueness Result of Theorem 6 in “Relative Entropy and the Multivariable Multidimensional Moment Problem”" @default.
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• W3104073462 doi "https://doi.org/10.1109/tit.2019.2903129" @default.
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