Two teams found different ways for quantum computers to process nonlinear systems by first disguising them as linear ones.

It is well known that a damped or underrelaxed Newton's method will sometimes solve a system of nonlinear equations when the full Newton's method cannot. This happens, for example, when only a poor ...

Introduces ordinary differential equations, systems of linear equations, matrices, determinants, vector spaces, linear transformations, and systems of linear differential equations. Prereq., APPM 1360 ...

Non-linear physics is the study of systems where the output is not directly proportional to the input. Unlike linear systems, which follow simple, predictable relationships, non-linear systems exhibit ...

M. Planitz, Inconsistent Systems of Linear Equations, The Mathematical Gazette, Vol. 63, No. 425 (Oct., 1979), pp. 181-185 ...

Data-driven control represents a paradigm shift in the design and implementation of controllers for both linear and nonlinear systems. Eschewing traditional reliance on first‐principles models ...

This example solves a nonlinear system of equations by Newton's method. Let the nonlinear system be represented by F(x) = 0 ...

Topics that will be covered in the course include: Linear and nonlinear systems analysis, stability in the sense of Lyapunov, linearization of nonlinear dynamic equations, rigid body equations of ...