Gorbachuk, Myroslav L.; Gorbachuk, Valentyna I. On the approximation to solutions of operator equations by the least squares method. (English) Zbl 1164.65019 Methods Funct. Anal. Topol. 14, No. 3, 229-241 (2008). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 65J10 47A50 PDFBibTeX XMLCite \textit{M. L. Gorbachuk} and \textit{V. I. Gorbachuk}, Methods Funct. Anal. Topol. 14, No. 3, 229--241 (2008; Zbl 1164.65019)
Gorbachuk, M. L. On the approximation to solutions of operator equations by the least squares method. (English. Russian original) Zbl 1119.65336 Funct. Anal. Appl. 39, No. 1, 71-75 (2005); translation from Funkts. Anal. Prilozh. 39, No. 1, 85-90 (2005). MSC: 65J10 47A50 PDFBibTeX XMLCite \textit{M. L. Gorbachuk}, Funct. Anal. Appl. 39, No. 1, 71--75 (2005; Zbl 1119.65336); translation from Funkts. Anal. Prilozh. 39, No. 1, 85--90 (2005) Full Text: DOI
Gorbachuk, M. L.; Gorbachuk, V. I. Direct and inverse theorems on approximation of solutions of operator equations. (English) Zbl 0979.47008 Nonlinear Bound. Value Probl. 9, 110-116 (1999). Reviewer: V.P.Burskii (Donetsk) MSC: 47A50 41A27 41A65 47B25 65L60 PDFBibTeX XMLCite \textit{M. L. Gorbachuk} and \textit{V. I. Gorbachuk}, Nonlinear Bound. Value Probl. 9, 110--116 (1999; Zbl 0979.47008)
Gorbachuk, M. On the error of approximation of solutions of operator equations by projective methods. (English) Zbl 0925.65103 ZAMM, Z. Angew. Math. Mech. 78, Suppl. 3, S921-S922 (1998). MSC: 65J10 47A50 PDFBibTeX XMLCite \textit{M. Gorbachuk}, ZAMM, Z. Angew. Math. Mech. 78, S921--S922 (1998; Zbl 0925.65103) Full Text: DOI
Gorbachuk, V. I.; Gorbachuk, M. L. Operator approach to approximation problems. (English. Russian original) Zbl 0923.65021 St. Petersbg. Math. J. 9, No. 6, 1097-1110 (1998); translation from Algebra Anal. 9, No. 6, 90-108 (1997). Reviewer: Gerlind Plonka (Duisburg) MSC: 65J10 47A50 41A65 41A25 41A27 PDFBibTeX XMLCite \textit{V. I. Gorbachuk} and \textit{M. L. Gorbachuk}, St. Petersbg. Math. J. 9, No. 6, 90--108 (1997; Zbl 0923.65021); translation from Algebra Anal. 9, No. 6, 90--108 (1997)
Gorbachuk, M. L.; Yakymiv, R. Ya. Estimate of error of an approximated solution by the method of moments of an operator equation. (English. Ukrainian original) Zbl 0940.65057 Ukr. Math. J. 48, No. 11, 1669-1676 (1996); translation from Ukr. Mat. Zh. 48, No. 11, 1477-1483 (1996). MSC: 65J10 47A50 PDFBibTeX XMLCite \textit{M. L. Gorbachuk} and \textit{R. Ya. Yakymiv}, Ukr. Math. J. 48, No. 11, 1669--1676 (1996; Zbl 0940.65057); translation from Ukr. Mat. Zh. 48, No. 11, 1477--1483 (1996) Full Text: DOI
Gorbachuk, M. L. On the rate of convergence for the Ritz approximation to solutions of operator equations. (Ukrainian) Zbl 0889.65061 Dopov. Akad. Nauk Ukr. 1996, No. 9, 28-31 (1996). Reviewer: A.N.Kochubei (Kyïv) MSC: 65J10 47A50 47A70 PDFBibTeX XMLCite \textit{M. L. Gorbachuk}, Dopov. Akad. Nauk Ukr. 1996, No. 9, 28--31 (1996; Zbl 0889.65061)