{"id":6093,"date":"2011-10-28T23:25:12","date_gmt":"2011-10-28T20:25:12","guid":{"rendered":"http:\/\/hgpu.org\/?p=6093"},"modified":"2011-10-28T23:25:12","modified_gmt":"2011-10-28T20:25:12","slug":"matrix-inversion-speed-up-with-cuda","status":"publish","type":"post","link":"https:\/\/hgpu.org\/?p=6093","title":{"rendered":"Matrix inversion speed up with CUDA"},"content":{"rendered":"<p>In this project several mathematic algorithms are developed to obtain a matrix inversion method &#8211; that combines CUDA&#8217;s parallel architecture and MATLAB which is actually faster than MATLAB&#8217;s built in inverse matrix function. This matrix inversion method is intended to be used for image reconstruction as a faster alternative to iterative methods with a comparable quality. The algorithms developed in this project are Gauss-Jordan elimination, Cholesky decomposition, Gaussian elimination and matrix multiplication. Gauss-Seidel is also featured in the report, but only as an alternative method of finding the inverse, since it has not been developed in the project.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In this project several mathematic algorithms are developed to obtain a matrix inversion method &#8211; that combines CUDA&#8217;s parallel architecture and MATLAB which is actually faster than MATLAB&#8217;s built in inverse matrix function. This matrix inversion method is intended to be used for image reconstruction as a faster alternative to iterative methods with a comparable [&hellip;]<\/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":[36,11,89,3],"tags":[1787,1782,14,512,847,324,20,199,390],"class_list":["post-6093","post","type-post","status-publish","format-standard","hentry","category-algorithms","category-computer-science","category-nvidia-cuda","category-paper","tag-algorithms","tag-computer-science","tag-cuda","tag-image-reconstruction","tag-matrix-inversion","tag-matrix-multiplication","tag-nvidia","tag-tesla-c1060","tag-thesis"],"views":10667,"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/hgpu.org\/index.php?rest_route=\/wp\/v2\/posts\/6093","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=6093"}],"version-history":[{"count":0,"href":"https:\/\/hgpu.org\/index.php?rest_route=\/wp\/v2\/posts\/6093\/revisions"}],"wp:attachment":[{"href":"https:\/\/hgpu.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6093"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/hgpu.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=6093"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/hgpu.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=6093"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}