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a variety of areas such as physics, chemistry and biology. Common linear equations solvers, including Gauss-Jordan, Gaussian Elimination and Cramer’s rule, run on CPU cluster. Among these algorithms, Gaussian Elimination has easy implementation and obvious advantage in terms of complexity as the matrix size increases, as shown in Table 1, where n is the number of elements in matrix.", "websiteTitle": "WordPress", "websiteType": "", "date": "", "publisher": "", "place": "", "DOI": "", "citationKey": "", "url": "http://xinggaox.wordpress.com/2010/05/25/cuda-linear-equations-solver-based-on-modified-gaussian-elimination/", "accessDate": "", "shortTitle": "", "language": "", "rights": "", "extra": "", "tags": [], "collections": [ "QZFPESWH" ], "relations": {}, "dateAdded": "2013-10-01T20:27:46Z", "dateModified": "2013-10-01T20:44:58Z" } }, { "key": "6WXGPK2R", "version": 8, "library": { "type": "group", "id": 214183, "name": "Arqui2", "links": { "alternate": { "href": "https://www.zotero.org/groups/arqui2", "type": "text/html" } } }, "links": { "self": { "href": "https://api.zotero.org/groups/214183/items/6WXGPK2R", "type": "application/json" }, "alternate": { "href": "https://www.zotero.org/groups/arqui2/items/6WXGPK2R", "type": "text/html" } }, "meta": { "createdByUser": { "id": 1378368, "username": "sergiogq", "name": "Sergio", "links": { "alternate": { "href": "https://www.zotero.org/sergiogq", "type": "text/html" } } }, "creatorSummary": "Peng et al.", "numChildren": 0 }, "data": { "key": "6WXGPK2R", "version": 8, "itemType": "document", "title": "riangular Linear System Solver for GPU with CUDA a nd OpenCL", "creators": [ { "creatorType": "author", "firstName": "Du", "lastName": "Peng " }, { "creatorType": "author", "firstName": "Tomov", "lastName": "Stanimire " }, { "creatorType": "author", "firstName": "Luszczek", "lastName": " Piotr " }, { "creatorType": "author", "firstName": "Dongarra", "lastName": " Jack " } ], "abstractNote": "We present an algorithm for solving a system of equ ations with triangular matrix system(TRSM for short). Our implementation targets graphics processing unit (GPU) based on CUDA and OpenCL. TRSM is an important step in obtaining the solution for a linear system of e quations after matrix decomposition like LU, Choles ky and QR.\nRelatively low performance of the current TRSM implementation in CUBLAS forces applications to perform\nTRSM on host device (CPU) for faster execution. Our implementation is designed to remove the need of en\ngaging CPU by executing TRSM on GPU with high performance and numerical stability comparable to that of the\nCUBLAS implementation.", "type": "", "date": "", "publisher": "", "place": "", "DOI": "", "citationKey": "", "url": "http://icl.cs.utk.edu/news_pub/submissions/TriangularLinear%20System%20Solver%20for%20GPU%20with%20CUDA.pdf", "accessDate": "", "archive": "", "archiveLocation": "", "shortTitle": "", "language": "", "libraryCatalog": "", "callNumber": "", "rights": "", "extra": "", "tags": [], "collections": [ "QZFPESWH" ], "relations": {}, "dateAdded": "2013-10-01T20:35:18Z", "dateModified": "2013-10-01T20:44:58Z" } } ]