Abstract: A new technique was developed to solve inverse kinematics based on quadratic minimization. Firstly the inverse kinematic problem was formulated as a quadratic minimization problem through ...

Abstract: Noncooperative differential games provide a basis for the study of coordination, conflict, and control for a single dynamical system with multiple players. Within the linear-quadratic ...

The following inverse problem is solved—given the eigenvalues and the potential b(n) for a difference boundary value problem with quadratic dependence on the eigenparameter, λ, the weights c(n) can be ...

Inverse optimal control (IOC) is an advanced methodological framework that seeks to deduce the underlying cost or reward functions based solely on the observation of optimal behaviour. Traditionally, ...

Institute of Reproducing Kernels, Kiryu, Japan. We shall need the basic theory of reproducing kernels in connection with matrices. We shall fix the minimum requests for our purpose. A simple example ...

A univariate quadratic function has the form f(x) = ax^2 + bx + c, where a, b and c are constants, and a is non-zero. The roots of a quadratic function can be found by finding values of x that satisfy ...

Dr. James McCaffrey of Microsoft Research presents a full-code, step-by-step tutorial on an implementation of the technique that emphasizes simplicity and ease-of-modification over robustness and ...

It would be great to consider having a builtin inverse() function for matrices in WGLS. As pointed out in this comment, it is supported by other APIs. While it has been argued that this function is ...

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 \(a \textgreater 0 \) ...