An extension of the finite element method–flux corrected transport stabilization for hyperbolic problems in the context of partial differential–algebraic equations is proposed. Given a local extremum diminishing property of the spatial discretization, the positivity preservation of the one-step θ-scheme when applied to the time integration of the resulting differential–algebraic equation is sho...

In this article we extend the method of Yong-Lin Chen (Iterative methods for computing the generalized inverses A (2) T,S of a matrix A, Appl. Math. Comput. 75 (2-3) (1996)) to inifinite dimensional settings. Precisely, we construct an iterative method for computing outer generalized inverses of operators on Banach spaces, and also for computing the generalized Drazin inverse of Banach algebra ...

In this paper we get the formula for the condition number of the W -weighted Drazin inverse solution of a linear system WAWx = b, where A is a bounded linear operator between Hilbert spaces X and Y , W is a bounded linear operator between Hilbert spaces Y and X, x is an unknown vector in the range of (AW ) and b is a vector in the range of (WA). AMS Mathematics Subject Classification (2000): 47...

In this paper, we analyze the index relation of anti-triangular block matrices and their entries to separately obtain new strict expressions for Drazin inverse them under certain circumstances. As applications, utilize relationship between matrix a 2 ? establish several formulae. Our results generalize unify series in literature.