{"action":"opened","issue":{"url":"https://api.github.com/repos/ericjang/svd3/issues/3","labels_url":"https://api.github.com/repos/ericjang/svd3/issues/3/labels{/name}","comments_url":"https://api.github.com/repos/ericjang/svd3/issues/3/comments","events_url":"https://api.github.com/repos/ericjang/svd3/issues/3/events","html_url":"https://github.com/ericjang/svd3/issues/3","id":104966937,"number":3,"title":"The results not accurate at all","user":{"login":"datainfer","id":14131784,"avatar_url":"https://avatars.githubusercontent.com/u/14131784?v=3","gravatar_id":"","url":"https://api.github.com/users/datainfer","html_url":"https://github.com/datainfer","followers_url":"https://api.github.com/users/datainfer/followers","following_url":"https://api.github.com/users/datainfer/following{/other_user}","gists_url":"https://api.github.com/users/datainfer/gists{/gist_id}","starred_url":"https://api.github.com/users/datainfer/starred{/owner}{/repo}","subscriptions_url":"https://api.github.com/users/datainfer/subscriptions","organizations_url":"https://api.github.com/users/datainfer/orgs","repos_url":"https://api.github.com/users/datainfer/repos","events_url":"https://api.github.com/users/datainfer/events{/privacy}","received_events_url":"https://api.github.com/users/datainfer/received_events","type":"User","site_admin":false},"labels":[],"state":"open","locked":false,"assignee":null,"milestone":null,"comments":0,"created_at":"2015-09-04T20:48:00Z","updated_at":"2015-09-04T20:48:00Z","closed_at":null,"body":"(1) U and V are not orthonormal. U * U' != I and V * V' != I\r\n(2) S is not diagonal.\r\n(3) U * S * V' != A.\r\n\r\nWith unacceptable error range, it cannot do anything serious.  It even cannot say a good approximation.\r\n\r\nPlease past a warning on the main page.\r\n\r\nTest case:\r\n>> A\r\n\r\nA =\r\n\r\n    0.8147    0.9134    0.2785\r\n    0.9058    0.6324    0.5469\r\n    0.1270    0.0975    0.9575\r\n\r\n>> [ U3, S3, V3 ] = imgreg.svd3( A )\r\n\r\nU3 =\r\n\r\n    0.6626   -0.4088    0.6242\r\n    0.6736   -0.0352   -0.7354\r\n    0.3245    0.9096    0.2525\r\n\r\n\r\nS3 =\r\n\r\n    1.7961\r\n    0.8341\r\n   -0.1794\r\n\r\n\r\nV3 =\r\n\r\n    0.6661   -0.2963    0.6695\r\n    0.5670   -0.3616   -0.7289\r\n    0.4632    0.8798   -0.0638\r\n\r\n>> U3 * U3'\r\n\r\nans =\r\n\r\n    0.9958    0.0017    0.0008\r\n    0.0017    0.9959    0.0008\r\n    0.0008    0.0008    0.9965\r\n\r\n \r\n>> V3 * V3'\r\n\r\nans =\r\n\r\n    0.9797   -0.0031    0.0051\r\n   -0.0031    0.9835   -0.0091\r\n    0.0051   -0.0091    0.9927\r\n\r\n>> U3 * diag( S3 ) * V3' - A\r\n\r\nans =\r\n\r\n    0.0041   -0.0337   -0.0202\r\n   -0.0028   -0.0319   -0.0208\r\n    0.0061   -0.0084   -0.0171"}}