PERTURBATION THEOREMS ON HERMITIAN MATRICES AND NEARLY HERMITIAN MATRICES

(整期优先)网络出版时间:1995-01-11
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Theproblemofrelatingtheeigervaluesofann×nHermitianmatrixtothoseofitsRayleigh-Ritzapproximationisconsidered.ThesameresidualboundforunitarilyinvariantnormsonHermilianmatricesisobtainedevenwithouttheorlhonormalandRayleigh-RitzassumptionsinStewartandSun’sbook[9,TheoremIV.4.14].TheresultcanalsobeextendedtonearlyHermitianmatrices.