Block pivoting implementation of a symmetric Toeplitz solver
| العنوان: | Block pivoting implementation of a symmetric Toeplitz solver |
|---|---|
| المؤلفون: | Antonio M. Vidal, Pedro Alonso, Manuel F. Dolz |
| المصدر: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia instname |
| بيانات النشر: | Elsevier, 2014. |
| سنة النشر: | 2014 |
| مصطلحات موضوعية: | Pivoting, Tridiagonal matrix, Computer Networks and Communications, Computer science, Diagonal, Linear system, MathematicsofComputing_NUMERICALANALYSIS, Stability (learning theory), Linear systems, Displacement structure, Solver, Symmetric Toeplitz matrices, Toeplitz matrix, Theoretical Computer Science, Algebra, Matrix (mathematics), Artificial Intelligence, Hardware and Architecture, ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION, CIENCIAS DE LA COMPUTACION E INTELIGENCIA ARTIFICIAL, Multicores, Algorithm, LENGUAJES Y SISTEMAS INFORMATICOS, Software, Block (data storage) |
| الوصف: | Toeplitz matrices are characterized by a special structure that can be exploited in order to obtain fast linear system solvers. These solvers are difficult to parallelize due to their low computational cost and their closely coupled data operations. We propose to transform the Toeplitz system matrix into a Cauchy-like matrix since the latter can be divided into two independent matrices of half the size of the system matrix and each one of these smaller arising matrices can be factorized efficiently in multicore computers. We use OpenMP and store data in memory by blocks in consecutive positions yielding a simple and efficient algorithm. In addition, by exploiting the fact that diagonal pivoting does not destroy the special structure of Cauchy-like matrices, we introduce a local diagonal pivoting technique which improves the accuracy of the solution and the stability of the algorithm. This work was partially supported by the Spanish Ministerio de Ciencia e Innovacion (Project TIN2008-06570-C04-02 and TEC2009-13741), Vicerrectorado de Investigacion de la Universidad Politecnica de Valencia through PAID-05-10 (ref. 2705), and Generalitat Valenciana through project PROMETEO/2009/2013. |
| وصف الملف: | application/pdf |
| اللغة: | English |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5ed7cb3ca608938cfc36020a895e180e https://hdl.handle.net/10251/57022 |
| Rights: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....5ed7cb3ca608938cfc36020a895e180e |
| قاعدة البيانات: | OpenAIRE |
| الوصف غير متاح. |