[作業] 顏老線代習題38 39

看板b93902HW作者 (僅供參考)時間20年前 (2005/11/29 13:59), 編輯推噓3(300)
留言3則, 3人參與, 最新討論串1/1
應沒有演算法課本的外系同學要求把這兩題內容po出來 Lemma28.9 Any positive-definite matrix is nonsingular. Lemma28.10 If A is a symmetric positive-definite matrix, then every leading submatrix of A is symmetric and positive-definite Lemma28.11(Schur complement lemma) If A is a symmetric positive-definite matrix and Ak is a leading k*k submatrix of A, then the Schur complement of A with respect to Ak is symmetric and positive-definite.(k是小的我不會打) "A+" 就是(A的轉置乘以A)的反矩陣再乘以(A的轉置)...希望能被看懂 28.5.7 A(A+)A = A (A+)A(A+) = (A+) (A(A+))的轉置 = A(A+) ((A+)A)的轉置 = (A+)A -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 203.74.156.98

11/29 19:52, , 1F
那A+不就是A的反矩陣...?
11/29 19:52, 1F

11/29 22:41, , 2F
不...A不一定是方陣 那個書上說是叫psudoinverse
11/29 22:41, 2F

11/30 00:29, , 3F
感謝!!!
11/30 00:29, 3F
文章代碼(AID): #13Y-uzGy (b93902HW)