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 ...

The purpose of this paper is to present efficient algorithms for computing solutions to systems of nonlinear equations with a block diagonal structure. The special structure of the systems, which ...

Excel can solve equations through several of its mathematical functions, but the single Excel tool that works on the largest variety of equations is the program's Solver Add-in.

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 ...

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

This book serves as a bridge between graduate textbooks and research articles in the area of nonlinear elliptic partial differential equations. Whereas graduate textbooks present basic concepts, the ...

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

Computer scientists have devised an innovative and elegantly concise algorithm that can efficiently solve systems of linear equations that are critical to such important computer applications as ...