In this paper, we use the technique of updating the solution to suggest and analyze a class of new splitting methods for solving general variational inequalities. It is shown that these modified methods converge for pseudomonotone operators, which is a weaker condition than monotonicity. Our method includes the two-step forward-backward splitting and extragradient methods for solving various cl...

We describe LPSP, a domain-independent planning algorithm that searches the space of linear plans using stochastic local search techniques. Because linear plans, rather than propositional assignments, comprise the states of LPSP’s search space, we can incorporate into its search various operators that are suitable for manipulating plans, such as plan-step reordering based on action dependencies...

We extend some results on time-homogeneous processes generated by divergence form operators to timeinhomogeneous ones. These results concern the decomposition of such processes as Dirichlet process, with an explicit expression for the term of zero-quadratic variation. Moreover, we extend some results on the Itô formula and BSDEs related to weak solutions of PDEs, and we study the case of quasi-...

Symmetry properties of time correlation functions within the forward–backward semiclassical dynamics (FBSD) approximation are considered. It is shown that FBSD autocorrelation functions of momentum and position-dependent operators satisfy rigorously the time symmetry relation of the quantum mechanical expression. The detailed balance condition follows from this symmetry in the special case wher...