A Generalised Conjugate Residual method for the solution of non-symmetric systems of equations with multiple right-hand sides

التفاصيل البيبلوغرافية
العنوان: A Generalised Conjugate Residual method for the solution of non-symmetric systems of equations with multiple right-hand sides
المؤلفون: Frederik Jan Lingen
المصدر: International Journal for Numerical Methods in Engineering. 44:641-656
بيانات النشر: Wiley, 1999.
سنة النشر: 1999
مصطلحات موضوعية: Numerical Analysis, Iterative method, Applied Mathematics, Non symmetric, General Engineering, Extension (predicate logic), Solver, System of linear equations, Scratch, Conjugate residual method, computer, Algorithm, Cray t3e, computer.programming_language, Mathematics
الوصف: This paper presents an iterative algorithm for solving non-symmetric systems of equations with multiple right-hand sides. The algorithm is an extension of the Generalised Conjugate Residual method (GCR) and combines the advantages of a direct solver with those of an iterative solver: it does not have to restart from scratch for every right-hand side, it tends to require less memory than a direct solver, and it can be implemented efficiently on a parallel computer. We will show that the extended GCR algorithm can be competitive with a direct solver when running on a single processor. We will also show that the algorithm performs well on a Cray T3E parallel computer. Copyright © 1999 John Wiley & Sons, Ltd.
تدمد: 1097-0207
0029-5981
URL الوصول: https://explore.openaire.eu/search/publication?articleId=doi_________::988fbb71e6e1d500141769171456ec60
https://doi.org/10.1002/(sici)1097-0207(19990220)44:5<641::aid-nme520>3.0.co;2-p
حقوق: CLOSED
رقم الأكسشن: edsair.doi...........988fbb71e6e1d500141769171456ec60
قاعدة البيانات: OpenAIRE