{ "id": "1907.01200", "version": "v1", "published": "2019-07-02T07:03:32.000Z", "updated": "2019-07-02T07:03:32.000Z", "title": "A New Cyclic Gradient Method Adapted to Large-Scale Linear Systems", "authors": [ "Qinmeng Zou", "Frederic Magoules" ], "journal": "17th International Symposium on Distributed Computing and Applications for Business Engineering and Science (DCABES), 2018, IEEE", "categories": [ "math.NA", "cs.NA" ], "abstract": "This paper proposes a new gradient method to solve the large-scale problems. Theoretical analysis shows that the new method has finite termination property for two dimensions and converges R-linearly for any dimensions. Experimental results illustrate first the issue of parallel implementation. Then, the solution of a large-scale problem shows that the new method is better than the others, even competitive with the conjugate gradient method.", "revisions": [ { "version": "v1", "updated": "2019-07-02T07:03:32.000Z" } ], "analyses": { "keywords": [ "large-scale linear systems", "cyclic gradient method", "large-scale problem", "experimental results illustrate first", "conjugate gradient method" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }