Geodesic
On modification of certain methods of the conjugate direction type for solving systems of linear algebraic equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 11, pp. 1811-1818 Cet article a éte moissonné depuis la source Math-Net.Ru

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A modification of certain well-known methods of the conjugate direction type is proposed and examined. The modified methods are more stable with respect to the accumulation of round-off errors. Moreover, these methods are applicable for solving ill-conditioned systems of linear algebraic equations that, in particular, arise as approximations of ill-posed problems. Numerical results illustrating the advantages of the proposed modification are presented. 
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     title = {On modification of certain methods of the conjugate direction type for solving systems of linear algebraic equations},
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L. F. Yukhno. On modification of certain methods of the conjugate direction type for solving systems of linear algebraic equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 11, pp. 1811-1818. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_11_a0/

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