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An error bound for the MAOR method

โœ Scribed by Ting-Zhu Huang; Fu-Ti Liu

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
571 KB
Volume
45
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

Ax = b is a system of linear equations where the matrix A is symmetric positive definite and consistently ordered. A bound for the norm of the errors sk = I -xk of the MAOR method in terms of the norms of 6k = zk -zk-' and 6&l = zk+l -xk and their inner product is derived, lkkll:: 5 $ { (I( wl -l&2 -I)/ + bl(Y -m2)1d)2 llskII; -204 -l&2 -1)(6k,bk+l) + 21w1(7 -~Z)~~L:~~~k~lZ~~~k+1~~2 + Ilak+l\i;}.

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