An example of Newton's method for an equation in Gevrey series
β Scribed by Getmanenko, Alexander
- Book ID
- 126698899
- Publisher
- Elsevier Science
- Year
- 2014
- Tongue
- English
- Weight
- 426 KB
- Volume
- 257
- Category
- Article
- ISSN
- 0022-0396
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Newton's method is based on a linear approximation of the function in a neighborhood of a solution point. It can be demonstrated that the error in the current iteration depends on the norm of second derivative. Instead using a higher-order approximation, the second derivative is used here to transfo
An effective numerical computation of the steadystate Riccati matrix is based on the successive solutions of a Lyapunov equation using Newton's method. The requirements of this algorithm are an initial stabilizing matrix and the numerical solution of the associated Lyapunov equation. Computationally