@article{RSMUP_1995__93__127_0, author = {Antonevich, A. B. and Appell, J. and Prokhorov, V. A. and Zabrejko, P. P.}, title = {Quasi-iteration methods of {Chebyshev} type for the approximate solution of operator equations}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {127--141}, publisher = {Seminario Matematico of the University of Padua}, volume = {93}, year = {1995}, mrnumber = {1354354}, zbl = {0839.65070}, language = {en}, url = {http://www.numdam.org/item/RSMUP_1995__93__127_0/} }
TY - JOUR AU - Antonevich, A. B. AU - Appell, J. AU - Prokhorov, V. A. AU - Zabrejko, P. P. TI - Quasi-iteration methods of Chebyshev type for the approximate solution of operator equations JO - Rendiconti del Seminario Matematico della Università di Padova PY - 1995 SP - 127 EP - 141 VL - 93 PB - Seminario Matematico of the University of Padua UR - http://www.numdam.org/item/RSMUP_1995__93__127_0/ LA - en ID - RSMUP_1995__93__127_0 ER -
%0 Journal Article %A Antonevich, A. B. %A Appell, J. %A Prokhorov, V. A. %A Zabrejko, P. P. %T Quasi-iteration methods of Chebyshev type for the approximate solution of operator equations %J Rendiconti del Seminario Matematico della Università di Padova %D 1995 %P 127-141 %V 93 %I Seminario Matematico of the University of Padua %U http://www.numdam.org/item/RSMUP_1995__93__127_0/ %G en %F RSMUP_1995__93__127_0
Antonevich, A. B.; Appell, J.; Prokhorov, V. A.; Zabrejko, P. P. Quasi-iteration methods of Chebyshev type for the approximate solution of operator equations. Rendiconti del Seminario Matematico della Università di Padova, Tome 93 (1995), pp. 127-141. http://www.numdam.org/item/RSMUP_1995__93__127_0/
[1] Linear Operators II, Intern. Publ., Leyden (1963). | MR
- ,[2] Introduction to the Theory of Uniform Approximation of Functions by Polynomials (Russian), Nauka, Moscow (1977). | MR | Zbl
,[3] X. LI - R. S. VARGA, On hybrid semi-iterative methods, SIAM J. Numer. Anal., 26 (1989), pp. 152-168. | MR | Zbl
-[4] W. NIETHAMMER - R. S. VARGA, A study of semi-iterative methods for nonsymmetric systems of linear equations, Numer. Math., 47 (1985), pp. 505-533. | EuDML | MR | Zbl
-[5] Iterationsverfahren für nichtsymmetrische Gleichungssysteme und Approximationsmethoden im Komplexen, Jber. Dt. Math. Vgg., 89 (1987), pp. 1-32. | MR | Zbl
- - ,[6] Geometrical Theory of Functions of a Complex Variable (Russian), Nauka, Moscow (1966). | MR | Zbl
,[7] Theory of Interpolation and Approximation of Functions (Russian), Fizmatgiz, Moscow (1954).
,[8] Analytic Function Theory, Vol. II, Ginn & Co., Boston (1962). | MR | Zbl
,[9] Functional Analysis (Russian), Nauka, Moscow (1977) (Engl. transl.: Pergamon Press, Oxford (1982)). | MR | Zbl
- ,[10] Praxis der konformen Abbildungen, Springer, Berlin (1959). | MR | Zbl
- ,[11] Positive Linear Systems - The Method of Positive Operators (Russian), Nauka, Moscow (1985) (Engl. transl.: Heldermann, Berlin (1989)). | MR | Zbl
- - :[12] STETSENKO, Approximate Solutions of Operator Equations (Russian), Nauka, Moscow (1969) (Engl. transl.: Noordhoff, Groningen (1972)).
- - - -[13] Elements of Modern Potential Theory (Russian), Nauka, Moscow (1966) (Engl. transl.: Springer, Berlin (1972)).
,[14] Methods of the Theory of Functions of a Complex Variable (Russian), Nauka, Moscow (1973). | Zbl
- ,[15] Theory of Analytic Functions (Russian), Nauka, Moscow (1968) (Engl. transl.: Chelsea, New York (1977)).
,[16] Constructive Theory of Functions of a Complex Variable (Russian), Nauka, Moscow (1964). | MR
- ,[17] Potential Theory in Modern Function Theory, Maruzen Co., Tokyo (1959). | MR | Zbl
,[18] Rational Functions in the Complex Domain, Coll. Publ., Amer. Math. Soc., Providence (1960). | MR | Zbl
and[19] Error estimates for successive approximations and spectral properties of linear operators, Numer. Funct. Anal. Optim., 11 (1990), pp. 823-838. | MR | Zbl
,[20] Chebyshev polynomial iterations and approximate solutions of linear operator equations, Zeitschr. Anal. Anw., 13 (1994), pp. 667-681. | MR | Zbl
- ,