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On a Kurchatov's method of linear interpolation for solving nonlinear equations

  1. S. M. Shakhno*

Article first published online: 27 DEC 2004

DOI: 10.1002/pamm.200410306

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PAMM

PAMM

Volume 4, Issue 1, pages 650–651, December 2004

Additional Information

How to Cite

Shakhno, S. M. (2004), On a Kurchatov's method of linear interpolation for solving nonlinear equations. Proc. Appl. Math. Mech., 4: 650–651. doi: 10.1002/pamm.200410306

Author Information

  1. Faculty of Applied Mathematics and Computer Science, Ivan Franko National University of Lviv, Universitetska 1, 79000 Lviv, Ukraine

*Phone: +380 322 2964 391, Fax: +380 322 2971 668

Publication History

  1. Issue published online: 27 DEC 2004
  2. Article first published online: 27 DEC 2004

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References

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    J. R. Dennis, Jr. and R. B. Schnabel, Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Prentice-Hall, Englewood Cliffs, New Yersey, 1983).
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    L. V. Kantorovich, G. P. Akilov, Functional Analysis (Nauka, Moscow, 1984) (Russian).
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    V. A. Kurchatov, Dokl. Akad. Nauk SSSR 198, 522–526 (1964); Soviet Math. Dokl. 12, 835–838 (1971).
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    J. M. Ortega, W. C. Rheinboldt, Iterative Solution of Nonlinear Equations in Several Variables (Academic Press, New York, 1970).
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    F. A. Potra, Numer. Funct. Anal. and Optimiz. 7(1, 75–106 (1984–85).
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    J. W. Schmidt, ZAMM 34, Part I, 1–8; Part II, 97–110 (1963).
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    H. Schwetlick, Numerische Lösung Nichtlinearer Gleichungen (VEB Deutscher Verlag der Wissenschaften, Berlin, 1979).
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    S. Shakhno, O. Gnatyshyn, in: Progress in Industrial Mathematics at ECMI 98, edited by L. Arkeryd, J. Bergh, P. Brenner and R. Pettersson (Verlag B. G. Teubner GMBH, Stuttgart, 1999), pp. 287–294.
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    J. F. Traub, Iterative Methods for the Solution of Equations (Prentice–Hall, Englewood Cliffs, New Yersey, 1964).
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    S. Ul'm, Dokl. Akad. Nauk SSSR 158, 55–58 (1964); Soviet Math. Dokl. 5, 1187–1190 (1964).
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