{"id":8146,"date":"2012-09-03T15:15:56","date_gmt":"2012-09-03T12:15:56","guid":{"rendered":"http:\/\/hgpu.org\/?p=8146"},"modified":"2012-09-03T15:15:56","modified_gmt":"2012-09-03T12:15:56","slug":"solving-systems-of-polynomial-equations-on-a-gpu","status":"publish","type":"post","link":"https:\/\/hgpu.org\/?p=8146","title":{"rendered":"Solving Systems of Polynomial Equations on a GPU"},"content":{"rendered":"<p>This paper explores the opportunities of using a GPGPU to solve systems of polynomial equations. We propose numerical real root-finding based on recursive de Casteljau subdivision over an n-dimensional rectangular domain. Two variants of parallelism-multithreading and multiprocessing-have been investigated. The speed, memory consumption and resistance for different sets of input data have also been examined.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This paper explores the opportunities of using a GPGPU to solve systems of polynomial equations. We propose numerical real root-finding based on recursive de Casteljau subdivision over an n-dimensional rectangular domain. Two variants of parallelism-multithreading and multiprocessing-have been investigated. The speed, memory consumption and resistance for different sets of input data have also been examined.<\/p>\n","protected":false},"author":351,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[11,89,3],"tags":[1782,14,20,1015],"class_list":["post-8146","post","type-post","status-publish","format-standard","hentry","category-computer-science","category-nvidia-cuda","category-paper","tag-computer-science","tag-cuda","tag-nvidia","tag-nvidia-geforce-gtx-460"],"views":2291,"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/hgpu.org\/index.php?rest_route=\/wp\/v2\/posts\/8146","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/hgpu.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/hgpu.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/hgpu.org\/index.php?rest_route=\/wp\/v2\/users\/351"}],"replies":[{"embeddable":true,"href":"https:\/\/hgpu.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=8146"}],"version-history":[{"count":0,"href":"https:\/\/hgpu.org\/index.php?rest_route=\/wp\/v2\/posts\/8146\/revisions"}],"wp:attachment":[{"href":"https:\/\/hgpu.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=8146"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/hgpu.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=8146"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/hgpu.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=8146"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}