We present an algorithm to solve a bi-level multi-objective fractional integer programming problem involving fuzzy numbers in the right-hand side of the constraints. The suggested algorithm combine the method of Taylor series together with the Kuhn Tucker conditions to solve fuzzy bi-level multi-objective fractional integer programming problem (FBLMOFIPP) then Gomory cuts are added till the int...

An adaptive regularization algorithm using high-order models is proposed for partially separable convexly constrained nonlinear optimization problems whose objective function contains non-Lipschitzian `q-norm regularization terms for q ∈ (0, 1). It is shown that the algorithm using an p-th order Taylor model for p odd needs in general at most O( −(p+1)/p) evaluations of the objective function a...

| Most receiver designs for asynchronous Direct-Sequence Code-Division Multiple-Access systems exploit timing information to simultaneously detect the desired signal and suppress the interference. In this paper, a previously proposed MUSIC delay estimation algorithm is considered which requires no initial information and no exhaustive search of the delays. Based on a Taylor series expansion, ap...

The problem is to calculate an approximate solution of an initial value problem for an autonomous system of N ordinary differential equations. Using fast power series techniques, we exhibit an algorithm for the p*h-order Taylor series method requiring only 0(p^ In p) arithmetic operations per step as p -» +a>. (Moreover, we show that any such algorithm requires at least O(p^) operations per ste...

The paper presents a new enclosure method for initial value problems in systems of ordinary di erential equations. Like the common enclosure methods (eg Lohner's algorithm AWA), it is based on Taylor expansion. In contrast to them, however, it is an implicit method. The solution sets of nonlinear inequalities have to be enclosed by a Newton-like algorithm. As the presented examples show, the ne...

This paper is concerned with guaranteed parameter estimation of nonlinear dynamic systems in a context of bounded measurement error. The problem consists of finding—or approximating as closely as possible—the set of all possible parameter values such that the predicted values of certain outputs match their corresponding measurements within prescribed error bounds. A set-inversion algorithm is a...

Symmetric level-index arithmetic was introduced to overcome the problems of overflow and underflow in the floating-point system. The purpose of this paper is to improve the algorithm performance of SLI arithmetic by introducing an approximation scheme using Taylor’s expansion. Following a brief summary of the SLI system and its algorithm for addition/subtraction, the deduction and analysis of T...

Real objects-based full-color holographic display systems usually collect data with a depth camera and then modulate the input light source to reconstruct color three-dimensional scene of real object. However, at present, main problems real-time high quality 3D are slow speed, low reconstruction quality, consumption hardware resources caused by excessive computing. Based on hybrid Taylor Raylei...