2 papers
math.NA2019
Analysis of the multiplicative Schwarz method for matrices with a special block structure
Carlos Echeverría, Jörg Liesen, Petr Tichý
We analyze the convergence of the (algebraic) multiplicative Schwarz method applied to linear algebraic systems with matrices having a special block structure that arises, for exam…
math.NA2017
Block diagonal dominance of matrices revisited: bounds for the norms of inverses and eigenvalue inclusion sets
Carlos Echeverría, Jörg Liesen, Reinhard Nabben
We generalize the bounds on the inverses of diagonally dominant matrices obtained in [16] from scalar to block tridiagonal matrices. Our derivations are based on a generalization o…