Thestructuraldynamicsproblems,suchasstructuraldesign,parameteridentificationandmodelcorrection,areconsideredasakindoftheinversegeneralizedeigenvalueproblemsmathematically.Theinverseeigenvalueproblemsarenonlinear.Ingeneral,theycouldbetransformedintononlinearequationstosolve.Thestructuraldynamicsinverseproblemsweretreatedasquasimultiplicativeinverseeigenalueproblemswhichweresolvedbyhomotopymethodfornonlinearequations.Thismethodhadnorequirementsforinitialvalueessentiallybecauseofthehomotopypathtosolution.Numericalexampleswerepresentedtoillustratethehomotopymethod.