On the Matrix (I + X)-1

J.C. Engwerda

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In this note we consider the question under which conditions all entries of the matrix I-(I+X)-1 are nonnegative in case matrix X is a real positive definite matrix.Sufficient conditions are presented as well as some necessary conditions.One sufficient condition is that matrix X-1 is an inverse M-matrix.A class of matrices for which the inequality holds is presented.
Original languageEnglish
Place of PublicationTilburg
Number of pages13
Publication statusPublished - 2005

Publication series

NameCentER Discussion Paper


  • matrices

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