The Convergence of a Class of Parallel Newton-Type Iterative Methods | Zendy

Huang Qing-long | Zendy

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The Convergence of a Class of Parallel Newton-Type Iterative Methods

Author(s) -

Huang Qing-long

Publication year - 2017

Publication title -

advances in numerical analysis

Language(s) - English

Resource type - Journals

eISSN - 1687-9570

pISSN - 1687-9562

DOI - 10.1155/2017/4281684

Subject(s) - convergence (economics) , iterative method , local convergence , mathematics , type (biology) , class (philosophy) , iterative and incremental development , newton's method , compact convergence , mathematical optimization , computer science , rate of convergence , nonlinear system , physics , key (lock) , ecology , software engineering , quantum mechanics , artificial intelligence , economics , biology , economic growth , computer security

A general iterative process is proposed, from which a class of parallel Newton-type iterative methods can be derived. A unified convergence theorem for the general iterative process is established. The convergence of these Newton-type iterative methods is obtained from the unified convergence theorem. The results of efficiency analyses and numerical example are satisfactory

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