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math.NA2014★ 8 cited
A multigrid scheme for 3D Monge-Ampère equations
Jun Liu, Brittany D. Froese, Adam M. Oberman +1
The elliptic Monge-Ampère equation is a fully nonlinear partial differential equation which has been the focus of increasing attention from the scientific computing community. Fast…
math.NA2011★ 15 cited
Rank-one Characterization of Joint Spectral Radius of Finite Matrix Family
Jun Liu, Mingqing Xiao
In this paper we study the joint/generalized spectral radius of a finite set of matrices in terms of its rank-one approximation by singular value decomposition. In the first part o…