After being studied the expression of figure-counting methods, a special numerical method is presented to approach any given value. With a gradual decrease weight of each digit, under the given error, ...

There are three main types of problems in finance: optimization, simulation, and valuation. Optimization problems involve finding the optimal values of some variables that maximize or minimize a ...

To illustrate how to compare simulation and optimization methods, let's consider some common industrial engineering problems. For instance, facility layout optimization requires a clear objective ...

Besides, an optimization method based on first-order numerical integration is proposed to quantitatively modify the stability region and improve the numerical stability. Finally, the validation ...

Smooth landscapes arise when variables are independent of each other and lend themselves well to linear regression approaches. However, if the landscape is rugged, with multiple local optima separated ...

Therefore, Equation 1 is classified as a monotone system of nonlinear equations if function Ψ satisfies the condition outlined in Equation 2.The study of monotone mappings, which belong to a category ...