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 ...

Based on the work of paper [1], we propose a modified Levenberg-Marquardt algoithm for solving singular system of nonlinear equations F (x) = 0, where F (x) : Rn → Rn is continuously differentiate and ...

A system of nonlinear equations is harder to solve than you think—and more of a puzzle than a math problem. Puzzles like this require you to look and find the one loose end you can pull to ...

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 ...

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

A pruning reservoir computing technique can mitigate noise and reconstruct nonlinear dynamics for potential engineering and ...