A python implementation of the algorithm used to generate optimal piecewise linear approximations of convex functions proposed by Imamoto and Tang [1]. The algorithm uses an iterative search to find ...

We will discuss these two approximation methods today, and we'll save approximation with higher degree polynomials for Calculus 2.\n\nOf course, it's kind of silly to do linear or quadratic ...

Abstract: Various analytic procedures have been proposed for minimum integral-square-error approximation of prescribed linear systems; however, they often involve ...

Abstract: The trajectory piece-wise linear (TPWL) method is a popular technique for nonlinear model order reduction (MOR). Though widely studied, it has primarily been restricted to applications ...

In this paper, we propose a method for finding the best piecewise linearization of nonlinear functions. For this aim, we try to obtain the best approximation of a nonlinear function as a piecewise ...

The circumference of a sphere is measured to be 24 cm, with a possible error of 0.25 cm. Use the differential \(dV\) to estimate the maximum error in the calculated ...

We consider a general class of nonlinear optimal policy problems involving forward-looking constraints (such as the Euler equations that are typically present as structural equations in DSGE models), ...

The approximation, or reduction, of high-dimensional dynamic models is a very broad subject, which in reality covers a wide range of issues. In particular, depending on the nature of the models ...