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J.Z0/pl.Mh.Cr.9211998)49.58 57 where 2 Un=1- ww w=(:n wTw and om=diag(1,2...n-l.(0. Thus.matrices A.B and C satisfy Condition I. Example 1.Solve the linear system (。))() where =+2xm+=m 8=∑xj-xm+,1=m The vectors =(=( denote the computed solution and the exact solution.respectively Example 2.Consider the linear system (g))() Table 1 The result of Example 1 Order Algorithm 1 Gauss elimination 名 n Flops Norm (- Flops Norm (x-x') I 10 3998 9.4259×101 8207 2.8856×101: 30 10 11533 3,4882×1031 24125 1.0046×10u 3(0 20 50)321 4.7859×10-0 100187 2.2251×10m 5(0 30 188938 6.1818×109 384447 1.7993×10" 50 40 267548 1.7401×10* 540643 4.4792×10" 50 50 344524 2.0480×10 733965 9.4886×104 The Gauss elimination is provided by MATLAB
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