[理工][矩阵] positive definite matrix

楼主: cano7127 (头儿)   2016-10-05 17:15:37
Show that if A is a p*p positive definite matrix, then there exists a lower
triangular matrix L such that LAL'=Ip
目前有朝Cholesky分解去想 A=LL' 但不知道怎么凑
作者: GetAway803 (重考待365天的宅肥)   2016-10-05 19:14:00
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不知道对不对
作者: kyuudonut (善良老百姓)   2016-10-05 23:43:00
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我也不知道对不对@@ 有错请指正
作者: boy00114 (ponny)   2016-10-06 00:28:00
楼上想法应该没错,A正定等价于A可LL^t分解且L为下三角对角项为正

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