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MR1384509 15A42 (15A57)
Shivakumar, P. N.; Williams, Joseph J.; Ye, Qiang; Marinov, Corneliu A. On two-sided bounds related to weakly diagonally dominant $M$-matrices with application to digital circuit dynamics. SIAM J. Matrix Anal. Appl. 17 (1996), no. 2, 298–312.
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