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Your search keyword '"Hermitian matrix"' showing total 4 results
Start Over Descriptor "Hermitian matrix" Search Limiters Academic (Peer-Reviewed) Journals Publication Year Range Last 10 years Language english Journal mathematical notes
4 results on '"Hermitian matrix"'

1. Unitarily invariant ergodic matrices and free probability.

Author

Bufetov, Al.

Subjects
*ERGODIC theory, *RANDOM matrices, *PROBABILITY theory, *HERMITIAN forms, *FOURIER transforms, *LAGRANGE'S series, *POWER series
Abstract

Probability measures on the space of Hermitian matrices which are ergodic for the conjugation action of an infinite-dimensional unitary group are considered. It is established that the eigenvalues of random matrices distributed with respect to these measures satisfy the law of large numbers. The relationship between such models of random matrices and objects in free probability, freely infinitely divisible measures, is also established. [ABSTRACT FROM AUTHOR]

Published
2015
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2. Criterion for the complete indeterminacy of the Nevanlinna-Pick matrix problem.

Author

Dyukarev, Yu. and Choque Rivero, A.

Subjects
*MATRIX functions, *MATHEMATICAL functions, *SCHUR functions, *NEVANLINNA theory, *STOCHASTIC convergence, *MATHEMATICAL analysis
Abstract

We obtain a new criterion for the complete indeterminacy of the classical matrix problem and of the Nevanlinna-Pick matrix problem in terms of the convergence of two matrix series. The elements of these series are positive matrices and are expressed by analogs of the classical Schur parameters. [ABSTRACT FROM AUTHOR]

Published
2014
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3. On an inequality of Marcus.

Author

Lin, M.

Subjects
*MARCUS equation, *CHARGE exchange, *MARCUS inverted region, *REORGANIZATION energy, *SPECTACLED eider, *HERMITIAN operators, *HERMITIAN structures
Abstract

We give a simple proof of a determinantal inequality due to Marcus (1976). [ABSTRACT FROM AUTHOR]

Published
2015
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4. A proof of Thompson'S determinantal inequality.

Author

Lin, Minghua and Sra, Suvrit

Subjects
*MATHEMATICAL inequalities, *MATRICES (Mathematics)
Abstract

The article discusses the proof of Thompson's determinantal inequality and tackles the conjugate transpose of a matrix or a vector X.

Published
2016
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