Relative entropy and the multivariable multidimensional moment problem

Entropy-like functionals on operator algebras have been studied since the pioneering work of von Neumann, Umegaki, Lindblad, and Lieb. The best known are the von Neumann entropy |(rho):=-trace(rhologrho) and a generalization of the Kullback- Leibler distance S(rhoparsigma):=trace(rhologrho-rhologsig...

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Bibliographic Details
Published in:	IEEE transactions on information theory Vol. 52; no. 3; pp. 1052 - 1066
Main Author:	Georgiou, T.T.
Format:	Journal Article
Language:	English
Published:	New York, NY IEEE 01.03.2006 Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:	Algebra Applied sciences Covariance realization Entropy Exact sciences and technology Functionals Information theory Information, signal and communications theory Inverse problems Mathematical functions moment problem multidimensional Multidimensional systems Multivariable Operators Polarization Probability distribution quantum entropy Radar scattering Sensor arrays Sensor phenomena and characterization Signal and communications theory Signal representation. Spectral analysis Signal, noise Spectral analysis Telecommunications and information theory Second order Quantum system quantum entropy Riemann metric multivariable Order statistic spectral analysis Entropy Inverse problem Statistical method Covariance Spectrum analysis Homotopy Moment problem Renormalization Signal analysis multidimensional Covariance realization Power spectrum
ISSN:	0018-9448, 1557-9654
Online Access:	Get full text
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