Eigenvalues, singular values, and Littlewood-Richardson coefficients

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dc.creatorFomin, Sergey
dc.creatorFulton, William
dc.creatorLi, Chi-Kwong
dc.creatorPoon, Yiu-Tung
dc.date2003-01-26
dc.date2003-09-21
dc.date.accessioned2026-07-07T04:54:42Z
dc.date.available2026-07-07T04:54:42Z
dc.descriptionWe 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.
dc.description24 pages. This is the final version, to appear in American Journal of Mathematics
dc.identifierhttps://arxiv.org/abs/math/0301307
dc.identifierhttp://arxiv.org/abs/math/0301307
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66359
dc.subjectAlgebraic Geometry
dc.subjectRings and Algebras
dc.subject15A42; 05E15; 14M15; 15A18
dc.titleEigenvalues, singular values, and Littlewood-Richardson coefficients
dc.typetext

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