简介：Let∑,Гbetwon-by-ndiagonalmatriceswithσi,γiastheirdiagonals.Fortheinverseeigenvalueproblem:lookfory∈RnsuchthatГ+yyTissimilarto∑,weprovethatualsothesufficientconditionforthesolvabilityofthisinverseproblem.Itssolution(set)isgivenexplicitly.Insomecase,theproblemisunstable.Butweprovethatthesumsofthesquareofsomecontigiouscomponentskeepstable,i.e.,smallsumkeepssmall,largesumhasasmallrelativeperturbation,seeTheorem3.
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