DownloadRootFinder provides the implementation of all the standard bracketing and open root finding techniques, along with a customizable and configurable framework that separates the initilization/bracketing functionality from the eventual root search.
RootFinder achieves its design goal by implementing its functionality over several parts:
- Root Finder Framework: Framework to accommodate bracketing/open convergence initialization, execution customization/configuration, iterative variate evolution, and search termination detection
- Bracket Initialization Techniques
- Open Method Convergence Zone Initialization Techniques
- Iterative Open Methods - Newton-Raphson and Secant Methods
- Iterative Bracketing Primitive Methods: Bisection, False Position, Quadratic Interpolation, Inverse Quadratic Interpolation, and Ridder
- Iterative Bracketing Compound Methods: Brent's and Zheng's
- Samples
- Documentation
- Regression Runs
- Search Initialization Heuristics
Features
- Root Finder Framework: Framework to accommodate bracketing/open convergence initialization, execution customization/configuration, iterative variate evolution, and search termination detector.
- Bracket Initialization Techniques: Implementation of the different techniques for the initial bracket extraction.
- Open Method Convergence Zone Initialization Techniques: Implementation of the different techniques for the convergence zone starting variate extraction.
- Iterative Open Methods: Implementation of the iterative Open Methods - Newton-Raphson and Secant Methods
- Iterative Bracketing Primitive Methods: Implementation of the iterative bracketing primitives – Bisection, False Position, Quadratic Interpolation, Inverse Quadratic Interpolation, and Ridder.
- Iterative Bracketing Compound Methods: Implementation of the iterative bracketing compound methodologies – Brent’s and Zheng’s methods.
- Samples: Samples for the various bracketing and the open methods, their cusomization, and configuration.
- Documentation: Literature review, framework description, mathematical and formulation details of the different components, root finder synthetic knowledge unit (SKU) composition, and module and API usage guide.
- Regression Tests: Statistical regression analysis and dispersion metric evaluation for the initialization and the iteration components of the different bracketing and open root finder methodologies.