We show that, for an n × n random matrix A with independent uniformly anticoncentrated entries such that E ‖ A ‖ HS 2 ≤k n 2 , the smallest singular value σn(A) of A satisfies â„™{ σ n ( A )≤ ε n }≤Cε+2 ...
SIAM Journal on Numerical Analysis, Vol. 43, No. 3 (2006), pp. 1321-1347 (27 pages) This paper develops and investigates iterative tensor methods for solving large-scale systems of nonlinear equations ...