The problem of finding a Nash equilibrium in polymatrix game of three players (hexamatrix game) is considered. For the equivalent nonconvex optimization problem an issue of local search is investigated. First, we study the special local search method (SLSM), based on the linearization of the original problem with respect to basic nonconvexity. Then the new local search procedure is elaborated. ...

Predicting the peak distribution of stochastic stress responses is critical for various fatigue analysis problems with stochastic uncertainties. In this paper, a method, based on the first-order reliability method (FORM), is proposed for estimating the peak distribution of stochastic response. The method linearizes the stochastic process at the associated most probable point. After linearizatio...

In industrial applications multi-channel data acquisition and logging is of prime importance for process monitoring and control. In such situations linearization of the non-linear responses obtained from multichannel data acquisition systems is of prime importance for precise monitoring and control. Although various techniques have been developed for sensor linearization, real time multi channe...

The paper deals with a problem of linearization of multi-output logic functions. Specifically, the case is discussed, when the functions have a large number of variables and cannot be efficiently linearized by using known techniques. For solution of the problem a socalled piecewise linearization is proposed. The piecewise linearization comprises decomposition of an initial multi-output function...

cos nθ cos mθ = 2 cos(n − m)θ + 2 cos(n + m)θ. Certain classical orthogonal polynomials admit explicit computation of the coefficients c(n,m, k). For example, they are known explicitly for the ultraspherical polynomials along with their q-analogs [8]. However, they are not available in a simple form for the nonsymmetric Jacobi polynomials (see [7]). The first general criterion for nonnegativity...

The standard linearization of a binary quadratic program yields an equivalent reformulation as an integer linear program, but the resulting LP-bounds are very weak in general. We concentrate on applications where the underlying linear problem is tractable and exploit the fact that, in this case, the optimization problem is still tractable in the presence of a single quadratic term in the object...

Twelve site models were established based on the analysis of influence conditions earthquake damage and soft soil layer on-site seismic response. The equivalent linearization response is carried out at different input ground motion levels to discuss thickness buried depth. results show that characteristic period spectrum exhibits a gradual increase as depth or increases. Furthermore, also incre...

This paper discusses a design of nonlinear observer by a formal linearization method using an application of Chebyshev Interpolation in order to facilitate processes for synthesizing a nonlinear observer and to improve the precision of linearization. A dynamic nonlinear system is linearized with respect to a linearization function, and a measurement equation is transformed into an augmented lin...