Using Design Patterns to Solve Newton--type Methods

Barrera, Ricardo Serrato; Gómez, Gustavo Rodríguez; Hernández, Saúl E. Pomares; Sansalvador, Julio César Pérez; Flores-Pulido, Leticia

doi:10.1007/978-3-319-48523-2_10

Cited by 2 publications

(1 citation statement)

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“…A wide range of applications are solved using a variation of Newton's method [4], these include: trust regions methods and line search methods [27], damping methods, inexact or truncated methods [26], quasi-Newton methods [41], or hybrid methods [6], [32]. Each variation presents specific features that make it suitable for the solution of a particular problem: unconstrained optimisation, solution of nonlinear systems of equations, or data fitting problems.…”

Section: Introductionmentioning

confidence: 99%

Software System Design based on Patterns for Newton-Type Methods

Barrera,

Gómez,

Sansalvador

et al. 2019

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A wide range of engineering applications uses optimisation techniques as part of their solution process. The researcher uses specialized software that implements well-known optimisation techniques to solve his problem. However, when it comes to develop original optimisation techniques that fit a particular problem the researcher has no option but to implement his own new method from scratch. This leads to large development times and error prone code that, in general, will not be reused for any other application. In this work, we present a novel methodology that simplifies, fasten and improves the development process of scientific software. This methodology guide us on the identification of design patterns. The application of this methodology generates reusable, flexible and high quality scientific software. Furthermore, the produced software becomes a documented tool to transfer the knowledge on the development process of scientific software. We apply this methodology for the design of an optimisation framework implementing Newton's type methods which can be used as a fast prototyping tool of new optimisation techniques based on Newton's type methods. The abstraction, re-useability and flexibility of the developed framework is measured

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Section: Introductionmentioning

confidence: 99%