Sonia Cafieri, Jon Lee, et al.
Journal of Global Optimization
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.
Sonia Cafieri, Jon Lee, et al.
Journal of Global Optimization
Heinz Koeppl, Marc Hafner, et al.
BMC Bioinformatics
Timothy J. Wiltshire, Joseph P. Kirk, et al.
SPIE Advanced Lithography 1998
James Lee Hafner
Journal of Number Theory