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- W200418598 abstract "This chapter describes the methods for automatic machines. Having an automatic machine, one can apply a certain iteration method in cases of slow convergence. When A = I − C where C = − L − U , the solution of A x = v is given by x = A -1 v = ( I – C ) -1 v = ( I + C + C 2 + C 3 +….) v . For convergence, it is necessary and sufficient that all roots of C lie in the unit circle. To solve Ax = v , only the product of the reciprocal of I − C by v is needed, not the reciprocal itself. Therefore, the products C i v are formed. This saves much computation work for C i would require M = n 3 ." @default.
- W200418598 created "2016-06-24" @default.
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- W200418598 date "2014-01-01" @default.
- W200418598 modified "2023-09-28" @default.
- W200418598 title "METHODS FOR AUTOMATIC MACHINES" @default.
- W200418598 doi "https://doi.org/10.1016/b978-1-4832-3214-0.50019-2" @default.
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