We present a method of lifting linear inequalities for the flag f -vector of polytopes to higher dimensions. Known inequalities that can be lifted using this technique are the non-negativity of the toric g-vector and that the simplex minimizes the cd-index. We obtain new inequalities for 6-dimensional polytopes. In the last section we present the currently best known inequalities for dimensions...

This paper studies the complexity of solving two classes of non-cooperative games in a distributed manner in which the players communicate with a set of system nodes over noisy communication channels. The complexity of solving each game class is defined as the minimum number of iterations required to find a Nash equilibrium (NE) of any game in that class with ǫ accuracy. First, we consider the ...

For iterative sequences that converge to the solution set of a linear matrix inequality, we show that the distance of the iterates to the solution set is at most O(2 ?d). The nonnegative integer d is the so{called degree of singularity of the linear matrix inequality, and denotes the amount of constraint violation in the iterate. For infeasible linear matrix inequalities, we show that the minim...

we introduce variational inequality problems on hilbert $c^*$-modules and we prove several existence results for variational inequalities defined on closed convex sets. then relation between variational inequalities, $c^*$-valued metric projection and fixed point theory  on  hilbert $c^*$-modules is studied.

We rst give a brief survey of some aspects of orthogonal polynomials. The three-term recurrence relation gives a tridiagonal matrix and the corresponding Ja-cobi operator gives useful information about the orthogonalizing measure and the asymptotic behavior of the zeros of the orthogonal polynomials. The Toda lattice and other similar dynamical systems (Langmuir lattice or Kac-Van Moerbeke latt...

Let w() be a positive weight function on the interval ;) and associate the positive deenite inner product on the unit circle of the complex plane by hf; gi w = 1 2 R f(e ii)g(e ii)w()d. For a sequence of points f k g 1 k=1 included in a compact subset of the open unit disk, we consider the orthogonal rational functions (ORF) f k g 1 k=0 that are obtained by orthogonalization of the sequence f1;...

We generalize Venema’s result on the canonicity of the additivity of positive terms, from classical modal logic to a vast class of logics the algebraic semantics of which is given by varieties of normal distributive lattice expansions (normal DLEs), aka ‘distributive lattices with operators’. We provide two contrasting proofs for this result: the first is along the lines of Venema’s pseudocorre...

we establish a relationship between general constrained pseudoconvex optimization problems and globally projected dynamical systems. a corresponding novel neural network model, which is globally convergent and stable in the sense of lyapunov, is proposed. both theoretical and numerical approaches are considered. numerical simulations for three constrained nonlinear optimization problems a...

the world was different when the ottawa charter for health promotion was released 30 years ago. concerns over the environment and what we now call the ‘social determinants of health’ were prominent in 1986. but the acceleration of ecological crises and economic inequalities since then, in a more complex and multi-polar world, pose dramatically new challenges for those committed to the original ...