逢甲學報, Band 13逢甲大學, 1980 |
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... Hence C1 ; = 0 for all i , j . Thus C = 0 . O.E. D. Lemma 2 . 1 Let S be a collection of square symmetric matrices A. If a matrix BES is a minimum ( i.e. , A≥B for all AE S ) then this minimum is unique . Proof : Suppose there are two ...
... Hence C1 ; = 0 for all i , j . Thus C = 0 . O.E. D. Lemma 2 . 1 Let S be a collection of square symmetric matrices A. If a matrix BES is a minimum ( i.e. , A≥B for all AE S ) then this minimum is unique . Proof : Suppose there are two ...
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Hence , It follows that Bias [ b- ( I - AX ) B ] [ b- ( I - AX ) BJ ' = Var B = E ( Aɛɛ'A ' ) = A ( Eɛɛ ' ) A ' = AVA ' ' - ( 11 ) Risk B [ b- ( I - AX ) B ] [ b- ( I - AX ) B ] ' + AVA ' = • ( 12 ) This expression ( 12 ) for the risk ...
Hence , It follows that Bias [ b- ( I - AX ) B ] [ b- ( I - AX ) BJ ' = Var B = E ( Aɛɛ'A ' ) = A ( Eɛɛ ' ) A ' = AVA ' ' - ( 11 ) Risk B [ b- ( I - AX ) B ] [ b- ( I - AX ) B ] ' + AVA ' = • ( 12 ) This expression ( 12 ) for the risk ...
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... Hence this mapping T - T ' is isometric isomorphic onto . Q. E. D 1 REMARK . when A = A , ( G ) , BA , ( G ) , all of these properties hold by lemma 3.7 . PROPOSITION 3.8 . The condition ( G ) holds for the Banach algebra A1 , ( G ) ...
... Hence this mapping T - T ' is isometric isomorphic onto . Q. E. D 1 REMARK . when A = A , ( G ) , BA , ( G ) , all of these properties hold by lemma 3.7 . PROPOSITION 3.8 . The condition ( G ) holds for the Banach algebra A1 , ( G ) ...