46. If A is an n n matrix, n 2, then A is an M-matrix...
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46. If A is an n × n matrix, n ≥ 2, then A is an M-matrix if and only if any of the following hold.
(1) (A + D)-1 > 0 for each diagonal nonsingular matrix D.
(2) (A + δI)-1 > 0 for each scalar δ ≥ 0.
(3) Each principal matrix of order 1, 2, and n has a positive inverse.
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Related Book For 
Matrices With Applications In Statistics
ISBN: 9780534980382
2nd Edition
Authors: Franklin A Graybill
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