We propose a new value iteration method for the classical average cost Markovian decision problem, under the assumption that all stationary policies are unichain and that, furthermore, there exists a state that is recurrent under all stationary policies. This method is motivated by a relation between the average cost problem and an associated stochastic shortest path problem. Contrary to the st...

We prove that the Seidel morphism of (M × M , ω ⊕ ω) is naturally related to the Seidel morphisms of (M,ω) and (M , ω), when these manifolds are monotone. We deduce a condition for loops of Hamiltonian diffeomorphisms of the product to be homotopically non trivial. This result was inspired by and extends results obtained by Pedroza [P]. All the symplectic manifolds we consider in this note are ...

In this paper we propose a new stable Fast Affine Projection algorithm based on Gauss -Seidel iterations (GSFAP). We investigate its implementation using the logarithmic number system (LNS) and compare it with other two FAP algorithms. A method to simplify its implementation is also proposed. We show that the 32-bit or 20-bit LNS implementation of the GSFAP algorithm is superior to those of oth...

A Euclidean t-design, as introduced by Neumaier and Seidel (1988), is a finite set X ⊂ Rn with a weight function w : X → R+ for which

In this paper, we apply the  homotopy analysis method (HAM) for solving fuzzy  linear systems and present  the necessary and sufficient conditions for the convergence of series solution obtained via the HAM. Also, we present a new criterion for choosing a proper value of convergence-control parameter $hbar$ when the HAM is applied to linear system of equations. Comparisons are made between the ...