David W. Jacobs, Daphna Weinshall, et al.
IEEE Transactions on Pattern Analysis and Machine Intelligence
Assume F = {f1,.∈.∈.,fn} is a family of nonnegative functions of n-1 nonnegative variables such that, for every matrix A of order n, |a ii|>f i (moduli of off-diagonal entries in row i of A) for all i implies A nonsingular. We show that there is a positive vector x, depending only on F, such that for all A=(a ij), and all i, f i ≥ ∑j|a ij|x j/xi. This improves a theorem of Ky Fan, and yields a generalization of a nonsingularity criterion of Gudkov. © Springer 2006.
David W. Jacobs, Daphna Weinshall, et al.
IEEE Transactions on Pattern Analysis and Machine Intelligence
Daniel J. Costello Jr., Pierre R. Chevillat, et al.
ISIT 1997
Naga Ayachitula, Melissa Buco, et al.
SCC 2007
S.F. Fan, W.B. Yun, et al.
Proceedings of SPIE 1989