This article describes three approximation methods I used to solve the growth model (Model 1) studied by the National Bureau of Economic Research's nonlinear rational-expectations-modeling group ...

Certain types of quadratic programs with linear constraints have the property that an extreme point of the convex set of feasible solutions is an optimal solution. This paper presents a procedure for ...

All quadratic functions have the same type of curved graphs with a line of symmetry. The graph of the quadratic function \(y = ax^2 + bx + c \) has a minimum turning point when \(a \textgreater 0 \) ...

Abstract: The paper provides a method with relatively high computational efficiency and accuracy to solve the linear equation systems (LES). That is, the paper presents a simplified 94LVI algorithm ...

Abstract: In this paper an integral linear quadratic regulator (ILQR) is proposed for balancing the inverted pendulum (IP) system. Dynamic model of the IP system, using the acceleration of the cart as ...