@techreport{704d87e816754ed89f1714d6f04243c9,

title = "On the Matrix (I + X)-1",

abstract = "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.",

keywords = "matrices",

author = "J.C. Engwerda",

note = "Subsequently publshed in Linear and Multilinear Algebra, 2008 Pagination: 13",

year = "2005",

language = "English",

volume = "2005-120",

series = "CentER Discussion Paper",

publisher = "Macroeconomics",

type = "WorkingPaper",

institution = "Macroeconomics",

}