ByusingMoore-Penrosegeneralizedinverseandthegeneralsingularvaluedecompositionofmatrices,thispaperestablishesthenecessaryandsufficientconditionsfortheexistenceofandtheexpressionsforthecentrosymmetricsolutionswithasubmatrixconstraintofmatrixinverseproblemAX=B.Inaddition,inthesolutionsetofcorrespondingproblem,theexpressionoftheoptimalapproximationsolutiontoagivenmatrixisderived.
