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Displaying similar documents to “Note On Some General Inequalities”

A review of selected topics in majorization theory

Marek Niezgoda (2013)

Banach Center Publications

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In this expository paper, some recent developments in majorization theory are reviewed. Selected topics on group majorizations, group-induced cone orderings, Eaton triples, normal decomposition systems and similarly separable vectors are discussed. Special attention is devoted to majorization inequalities. A unified approach is presented for proving majorization relations for eigenvalues and singular values of matrices. Some methods based on the Chebyshev functional and similarly separable...