Download Approximate Solution of Operator Equations by M.A. Krasnosel'skii, G.M. Vainikko, R.P. Zabreyko, Ya.B. PDF

00. 6: for large n, these errors have approximately the same direction as an eigenvector corresponding to the greatest eigenvalue. 36 SUCCESSIVE APPROXIMATIONS CHAP. G. 52) is not symmetric. 9. Effect of round-off errors. 70) in an arbitrary Banach space. E. We shall assume that the operator A maps a closed set IDl ~ E into itself and is a contraction on IDl: IIAx - Ayll ~ q Ilx - YII (x,YEIDl; q < 1). 71) In actual computation of successive approximations (n = 1,2, ...

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