@article {IOPORT.01472875, author = {Abramov, A.A. and Yukhno, L.F.}, title = {An elimination method for linear problems.}, year = {1998}, journal = {Computational Mathematics and Mathematical Physics}, volume = {38}, number = {4}, issn = {0965-5425}, pages = {527-535 (1998); translation from Zh. Vychisl. Mat. Mat. Fiz. 38, No. 4, 547-556}, publisher = {MAIK Nauka / Interperiodica Publishing, Moskva; Springer, Heidelberg}, abstract = {The authors consider the elimination problem for general linear equations in Hilbert spaces. The method suggested for solving this problem is based on the ideas of conjugate direction method. This method allows a given linear functional of a solution to be computed without evaluating the solution itself. The authors prove the convergence of this method and investigate the character of this convergence in some cases when the original linear problem is ill-posed.}, reviewer = {Alexey Tret'yakov (Siedlce)}, identifier = {01472875}, }