We present an explicit closed-form solution to the problem of minimizing the combination of linear functional and a function of quadratic functional, subject to a system of affine constraints. This is of interes
LSSVM is close to SVM formulation but solves a linear system instead of a quadratic programming (QP) problem. It has been widely applied in various fields because it is easier to implement, speedy solution convergence, etc. On the other hand, LSSVM has the inherent nature of overfitting to...
The process of optimizing a system's parameters to maximize or decrease its output involves selecting the best values from all potential values for that system. Because the optimization problem has prompted the creation of optimization techniques and the growth of fascinating research topics, it may ...
First, the quadratic energy function shown in Eq. (12) is selected, $$\begin{aligned} {\varvec{H}}(x) = \dfrac{1}{2}[ax^2 + by^2 + z^2] \end{aligned}$$ (12) in turn the gradient vector of Eq. (12) is shown in Eq. (13), $$\begin{aligned} \dfrac{\partial {\va...
The problem was programmed using Microsoft Excel Solver® with Newton's method of resolution (Lasdon et al., 1978). The objective function is shown in Eq. (1), which contains the individual costs (cj, $/kg) of an unknown quantity xj of the j-th feedstuff (as fed, kg/d). The ...
In this study, we consider the exponential utility maximization problem in the context of a jump-diffusion model. To solve the problem, we rely on the dynamic programming principle and we derive from it a quadratic BSDE with jumps. Since this quadratic BSDE is driven both by a Wiener process...
A problem statement typical for the residual method is reduced to a minimization problem for an appropriate penalty function. We apply two classical penalty functions: the quadratic penalty function and the exact Eremin-Zangwill penalty function. For each of the approaches, we establish convergence ...
around gauss circle problem 01:02:43 mean values of Erdos-Hooley delta function 54:07 A two dimesnional delta methods and applications 59:06 100% of quadratic twists have no integral points 52:53 A lower bound on high moments of character sums 50:43 Drappeau:q-pochhammer symbols...
OPF is a large-scale, nonlinear, constrained, nonconvex optimization problem in power systems. This problem has been addressed with linear programming, nonlinear programming, quadratic programming, Newton, and interior point methods. These traditional methods, however, have certain limitations and require...
Absolute stability is a basic and important problem in the design of automatic control systems. This paper initiate the study of absolute stability of impu... X Liu,KL Teo,Z Yi - 《Nonlinear Analysis Theory Methods & Applications》 被引量: 169发表: 2005年 Dichotomy and absolute stability of...