Eigenvalues, singular values, and Littlewood-Richardson coefficients
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Publication:4653729
DOI10.1353/AJM.2005.0005zbMATH Open1072.15010arXivmath/0301307OpenAlexW1993762577WikidataQ105613631 ScholiaQ105613631MaRDI QIDQ4653729
Author name not available (Why is that?)
Publication date: 7 March 2005
Published in: (Search for Journal in Brave)
Abstract: We characterize the relationship between the singular values of a complex Hermitian (resp., real symmetric, complex symmetric) matrix and the singular values of its off-diagonal block. We also characterize the eigenvalues of an Hermitian (or real symmetric) matrix C=A+B in terms of the combined list of eigenvalues of A and B. The answers are given by Horn-type linear inequalities. The proofs depend on a new inequality among Littlewood-Richardson coefficients.
Full work available at URL: https://arxiv.org/abs/math/0301307
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