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- W1646020897 abstract "This chapter aims to solve systems of n nonlinear equations with n unknowns of the form. It discusses Newton's method for nonlinear systems. Code 20 is a simple implementation of Newton's method for systems of nonlinear equations that requires function jac to approximate the Jacobian, as well as functions pplu and plusolve to solve the linear system. In general, nonlinear systems of algebraic equations appearing in physics or engineering frequently include parameters. Exploration of the solutions of these nonlinear systems for different values of their parameters is common practice in nonlinear science. The chapter addresses the most fundamental techniques to track or continuate branches of solutions of parameter-dependent nonlinear systems. These techniques must address, among other issues, the problem of continuating the solutions in the presence of turning points." @default.
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- W1646020897 date "2020-05-29" @default.
- W1646020897 modified "2023-10-18" @default.
- W1646020897 title "Systems of Nonlinear Equations" @default.
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- W1646020897 doi "https://doi.org/10.1002/9781119425762.ch6" @default.
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