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 ...

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

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 ...

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 ...

Apply feedback control laws to stabilize systems and achieve performance goals. Control systems are ubiquitous among many science and engineering disciplines. Learn topics in modeling, analysis, ...

Discrete-time Fourier series and Fourier transforms including complex convolution: applications to linear systems. Discrete Fourier transforms and Fast Fourier algorithm. Ztransforms: convergence ...