Vanishing pseudo–Schur complements, reverse order laws, absorption laws and inheritance properties

Ela the Reverse Order Laws and the Mixed-type Reverse Order Laws for Generalized Inverses of Multiple Matrix Products

In this paper, necessary and sufficient conditions for a number of reverse order laws and mixed-type reverse order laws are derived by using the maximal ranks of the generalized Schur complements.

The reverse order laws and the mixed-type reverse order laws for generalized inverses of multiple matrix products

Reverse order laws for the weighted generalized inverses

In this paper, we offer new necessary and sufficient conditions for the reverse order laws to hold for the weighted generalized inverses of matrices. 2010 Mathematics Subject Classification: 15A09

Reverse order laws for {1, 2, 3}-generalized inverses

In this paper, we present purely algebraic necessary and sufficient conditions for reverse order laws for {1, 2, 3} and {1, 2, 4}-generalized inverses on the set of matrices. 2010Mathematics Subject Classification: 15A09

Vanishing Viscosity Approximation to Hyperbolic Conservation Laws

We study high order convergence of vanishing viscosity approximation to scalar hyperbolic conservation laws in one space dimension. We prove that, under suitable assumptions, in the region where the solution is smooth, the viscous solution admits an expansion in powers of the viscosity parameter ε. This allows an extrapolation procedure that yields high order approximation to the non-viscous li...