{"action":"opened","number":412,"pull_request":{"url":"https://api.github.com/repos/SciRuby/nmatrix/pulls/412","id":53527585,"html_url":"https://github.com/SciRuby/nmatrix/pull/412","diff_url":"https://github.com/SciRuby/nmatrix/pull/412.diff","patch_url":"https://github.com/SciRuby/nmatrix/pull/412.patch","issue_url":"https://api.github.com/repos/SciRuby/nmatrix/issues/412","number":412,"state":"open","locked":false,"title":"positive_definite?, positive_semidefinite?, full_rank?, rank_deficient?, get_rank #411","user":{"login":"johnmarinelli","id":3382949,"avatar_url":"https://avatars.githubusercontent.com/u/3382949?v=3","gravatar_id":"","url":"https://api.github.com/users/johnmarinelli","html_url":"https://github.com/johnmarinelli","followers_url":"https://api.github.com/users/johnmarinelli/followers","following_url":"https://api.github.com/users/johnmarinelli/following{/other_user}","gists_url":"https://api.github.com/users/johnmarinelli/gists{/gist_id}","starred_url":"https://api.github.com/users/johnmarinelli/starred{/owner}{/repo}","subscriptions_url":"https://api.github.com/users/johnmarinelli/subscriptions","organizations_url":"https://api.github.com/users/johnmarinelli/orgs","repos_url":"https://api.github.com/users/johnmarinelli/repos","events_url":"https://api.github.com/users/johnmarinelli/events{/privacy}","received_events_url":"https://api.github.com/users/johnmarinelli/received_events","type":"User","site_admin":false},"body":"Hi!  Here is my first draft for https://github.com/SciRuby/nmatrix/issues/411.\r\n\r\nOne concern:\r\nPerforming the definite check gets slow when matrix sizes get into the thousands.  i'm currently working on implementing gershgorin's circle theorem to see if this resolves the issue.\r\n\r\nLet me know what you think.  Thanks!\r\n\r\n","created_at":"2015-12-14T06:03:55Z","updated_at":"2015-12-14T06:03:55Z","closed_at":null,"merged_at":null,"merge_commit_sha":null,"assignee":null,"milestone":null,"commits_url":"https://api.github.com/repos/SciRuby/nmatrix/pulls/412/commits","review_comments_url":"https://api.github.com/repos/SciRuby/nmatrix/pulls/412/comments","review_comment_url":"https://api.github.com/repos/SciRuby/nmatrix/pulls/comments{/number}","comments_url":"https://api.github.com/repos/SciRuby/nmatrix/issues/412/comments","statuses_url":"https://api.github.com/repos/SciRuby/nmatrix/statuses/fa9e6b6b9f92b284e96a539ff525fde87900362c","head":{"label":"johnmarinelli:master","ref":"master","sha":"fa9e6b6b9f92b284e96a539ff525fde87900362c","user":{"login":"johnmarinelli","id":3382949,"avatar_url":"https://avatars.githubusercontent.com/u/3382949?v=3","gravatar_id":"","url":"https://api.github.com/users/johnmarinelli","html_url":"https://github.com/johnmarinelli","followers_url":"https://api.github.com/users/johnmarinelli/followers","following_url":"https://api.github.com/users/johnmarinelli/following{/other_user}","gists_url":"https://api.github.com/users/johnmarinelli/gists{/gist_id}","starred_url":"https://api.github.com/users/johnmarinelli/starred{/owner}{/repo}","subscriptions_url":"https://api.github.com/users/johnmarinelli/subscriptions","organizations_url":"https://api.github.com/users/johnmarinelli/orgs","repos_url":"https://api.github.com/users/johnmarinelli/repos","events_url":"https://api.github.com/users/johnmarinelli/events{/privacy}","received_events_url":"https://api.github.com/users/johnmarinelli/received_events","type":"User","site_admin":false},"repo":{"id":47389406,"name":"nmatrix","full_name":"johnmarinelli/nmatrix","owner":{"login":"johnmarinelli","id":3382949,"avatar_url":"https://avatars.githubusercontent.com/u/3382949?v=3","gravatar_id":"","url":"https://api.github.com/users/johnmarinelli","html_url":"https://github.com/johnmarinelli","followers_url":"https://api.github.com/users/johnmarinelli/followers","following_url":"https://api.github.com/users/johnmarinelli/following{/other_user}","gists_url":"https://api.github.com/users/johnmarinelli/gists{/gist_id}","starred_url":"https://api.github.com/users/johnmarinelli/starred{/owner}{/repo}","subscriptions_url":"https://api.github.com/users/johnmarinelli/subscriptions","organizations_url":"https://api.github.com/users/johnmarinelli/orgs","repos_url":"https://api.github.com/users/johnmarinelli/repos","events_url":"https://api.github.com/users/johnmarinelli/events{/privacy}","received_events_url":"https://api.github.com/users/johnmarinelli/received_events","type":"User","site_admin":false},"private":false,"html_url":"https://github.com/johnmarinelli/nmatrix","description":"Dense 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