[理學(xué)]數(shù)值分析gauss消去法課件-文庫吧資料
2024-10-22 21:14本頁面
【正文】 n nnn nnij ijk k k n k i i nk k k n kn n nn ni j na a a b a a a aa a a b a a a aaaa a a b b aa a a ba a a b???? ? ? ???????????????????( 1 ) ( 1 ) ( 1 ) ( 1 )1 2 , 1( 1 ) ( 1 ) ( 1 ) ( 1 )1 , 1 1 , 2 1 , 1 , 1( 1 ) ( 1 ) ( 1 ) ( 1 )1 2 , 1( 1 )k k k n k nk k k n k nn n nn n na a a aa a a aa a a aAA?? ? ? ? ?????????????????A x b?Gauss消去法 消元過程（ 1） ( 1 ) ( 1 ) ( 1 ) ( 1 )11 12 1 1 , 1( 1 ) ( 1 ) ( 1 ) ( 1 )21 22 2 2 , 1( 1 ) ( 1 ) ( 1 ) ( 1 ) ( 1 )1 2 , 1( 1 ) ( 1 ) ( 1 ) ( 1 )1 , 1 1 , 2 1 , 1 , 1( 1 ) ( 1 ) ( 1 ) ( 1 )1 2 , 1nnnnk k k n k nk k k n k nn n nn n na a a aa a a aA a a a aa a a aa a a a???? ? ? ? ?????????????????( 2 ) ( 2 ) ( 2 )( 2 ) ( 2 ) ( 2 )(2( 1 ) ( 1 ) ( 1 ) ( 1 )11 12 1) ( 21 , 122 2 2 , 1( 2 )) ( 2 )(2 , 11 , 2 1 , 1 , 12 , 12 ) ( 2 ) ( 2 )0000nnnnk k n k nk k n k nn nn n na a a aa a aA a a aa a aa a a???? ? ? ?????????????????消元過程（ 1） 消元過程（ 1） ( 1 ) ( 1 ) ( 1 ) ( 1 )11 12 1 1 , 1( 2 ) ( 2 ) ( 2 )22 2 2 , 1( 2 ) ( 2 ) ( 2 ) ( 2 )2 , 1( 2 ) ( 2 ) ( 2 )1 , 2 1 , 1 , 1( 2 ) ( 2 ) ( 2 )2 , 10000nnnnk k n k nk k n k nn nn n na a a aa a aA a a aa a aa a a???? ? ? ?????????????????( 1 ) ( 1 )1 1 1 111( 2 ) ( 1 ) ( 1 )112 , 2 1/iii i ii j i j i ji n j nl a ar l r ra a l a? ? ? ? ??????消元過程（ 1） 消元過程（ 2） ( 1 ) ( 1 ) ( 1 ) ( 1 ) ( 1 ) ( 1 )11 12 1 , 1 1 , 1 1 , 1( 2 ) ( 2 ) ( 2 ) ( 2 ) ( 2 )22 2 , 1 2 , 2 2 , 1( 1 ) ( 1 ) ( 1 ) ( 1 )1 , 1 1 , 1 , 1 , 1()( ) ( ) ( ),1( ) ( )1 , 1 ,0000 0 00 0 0k k n nk k n nk k k kk k k k k n k nk
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