This paper is the second part of a study dealing with the application of a global-in-time Schwarz method to a one dimensional diffusion problem defined on two non-overlapping subdomains. In the first part, we considered that the diffusion coefficients were constant and possibly discontinuous. In the present study, we address the problem for spatially variable coefficients with a discontinuity a...

Optimized Schwarz methods are working like classical Schwarz methods, but they are exchanging physically more valuable information between subdomains and hence have better convergence behavior. The new transmission conditions include also derivative information, not just function values, and optimized Schwarz methods can be used without overlap. In this paper, we present a new optimized Schwarz...

We extend results of the recursive-least-squares-with-forgetting-factor identifier for single-input-single-output systems to multiple-output case by, under assumption persistence excitation, deriving corresponding minimized objective function and by showing exponential convergence estimation error.

New comparison theorems are presented comparing the asymptotic convergence factor of iterative methods for the solution of consistent (as well as inconsistent) singular systems of linear equations. The asymptotic convergence factor of the iteration matrix T is the quantity γ(T ) = max{|λ|, λ ∈ σ(T ), λ = 1}, where σ(T ) is the spectrum of T . In the new theorems, no restrictions are imposed on ...

In a two-country infinite-horizon model, with two traded goods and two factors of production and no international borrowing and lending, there is no convergence of incomes if there is factor-price equalization. With factor-price equalization, the Euler equations of the two economies become identical. I show that in such a set-up if agents have a non-zero probability of death, then we do get con...

In the absence of strict complementarity, Monteiro and Wright 7] proved that the convergence rate for a class of Newton interior-point methods for linear complementarity problems is at best linear. They also established an upper bound of 1=4 for the Q 1-factor of the duality gap sequence when the steplengths converge to one. In the current paper, we prove that the Q 1 factor of the duality gap ...

Dimensionless coefficient () in convergence confinement method shows the relaxation of stress in the wall of the tunnel at different excavation movements. This factor is considered a constant number in previous studies and tunnel geometric characteristics (such as depth, cross-section shape, radius, soil material, etc.) are not included in its determination; however, ignoring these effects can...