Using Design Patterns to Solve Newton--type Methods

We present the development of a software system for Newton-type methods via the identification and application of software design patterns. We measured the quality of our developed system and found that it is flexible, easy to use and extend due to the application of design patterns. Our newly developed system is flexible enough to be used by the numerical analyst interested in the creation of new Newton-type methods, or the engineer that applies different Newton–type strategies in his software solutions.