A. Gupta, R. Gross, et al.
SPIE Advances in Semiconductors and Superconductors 1990
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.
A. Gupta, R. Gross, et al.
SPIE Advances in Semiconductors and Superconductors 1990
Leo Liberti, James Ostrowski
Journal of Global Optimization
A.R. Conn, Nick Gould, et al.
Mathematics of Computation
Fausto Bernardini, Holly Rushmeier
Proceedings of SPIE - The International Society for Optical Engineering