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Zh. Vychisl. Mat. Mat. Fiz., 1988, Volume 28, Number 7, Pages 1097–1102 (Mi zvmmf3620)  

This article is cited in 19 scientific papers (total in 19 papers)

Scientific communications

Methods for solving degenerate problems

K. N. Belash, A. A. Tret'yakov

Moscow

Full text: PDF file (652 kB)

English version:
USSR Computational Mathematics and Mathematical Physics, 1988, 28:4, 90–94

Bibliographic databases:

UDC: 519.85
MSC: Primary 65H10; Secondary 65K10, 49K10
Received: 21.01.1988

Citation: K. N. Belash, A. A. Tret'yakov, “Methods for solving degenerate problems”, Zh. Vychisl. Mat. Mat. Fiz., 28:7 (1988), 1097–1102; U.S.S.R. Comput. Math. Math. Phys., 28:4 (1988), 90–94

Citation in format AMSBIB
\Bibitem{BelTre88}
\by K.~N.~Belash, A.~A.~Tret'yakov
\paper Methods for solving degenerate problems
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1988
\vol 28
\issue 7
\pages 1097--1102
\mathnet{http://mi.mathnet.ru/zvmmf3620}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=954827}
\zmath{https://zbmath.org/?q=an:0653.65039}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1988
\vol 28
\issue 4
\pages 90--94
\crossref{https://doi.org/10.1016/0041-5553(88)90116-4}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. K. N. Belash, “The solution of systems of nonlinear equations of general form”, U.S.S.R. Comput. Math. Math. Phys., 30:3 (1990), 140–144  mathnet  crossref  mathscinet  zmath
    2. A. F. Izmailov, “Degenerate extremum problems with inequality-type constraints”, Comput. Math. Math. Phys., 32:10 (1992), 1413–1421  mathnet  mathscinet  zmath  isi
    3. A. F. Izmailov, “Optimality conditions for degenerate extremum problems with inequality-type constraints”, Comput. Math. Math. Phys., 34:6 (1994), 723–736  mathnet  mathscinet  zmath  isi
    4. A. F. Izmailov, “The $2$-factor method and multipoint boundary value problems”, Comput. Math. Math. Phys., 35:11 (1995), 1291–1299  mathnet  mathscinet  zmath  isi
    5. A. F. Izmailov, “On higher-order methods for finding singular solutions of nonlinear operator equations”, Comput. Math. Math. Phys., 36:5 (1996), 569–576  mathnet  mathscinet  zmath  isi
    6. A. F. Izmailov, “Optimality conditions in extremal problems with nonregular inequality constraints”, Math. Notes, 66:1 (1999), 72–81  mathnet  crossref  crossref  mathscinet  zmath  isi
    7. O. A. Brezhneva, A. F. Izmailov, A. A. Tret'yakov, A. Khmura, “An approach to finding singular solutions to a general system of nonlinear equations”, Comput. Math. Math. Phys., 40:3 (2000), 347–358  mathnet  mathscinet  zmath
    8. O. A. Brezhneva, A. A. Tret'yakov, “On the choice of a method for solving a general system of nonlinear equations”, Comput. Math. Math. Phys., 41:5 (2001), 633–637  mathnet  mathscinet  zmath
    9. O. A. Brezhneva, A. A. Tret'yakov, A. Khmura, “A modified $2$-factor method for solving systems of nonlinear equations”, Comput. Math. Math. Phys., 41:4 (2001), 522–532  mathnet  mathscinet  zmath
    10. O. A. Brezhneva, A. F. Izmailov, “Construction of defining systems for finding singular solutions to nonlinear equations”, Comput. Math. Math. Phys., 42:1 (2002), 8–19  mathnet  mathscinet  zmath
    11. Tret'Yakov A., Marsden J.E., “Factor-analysis of nonlinear mappings: p-regularity theory”, Commun Pure Appl Anal, 2:4 (2003), 425–445  crossref  mathscinet  zmath  isi
    12. Brezhneva O.A., Tret'yakov A.A., “Optimality conditions for degenerate extremum problems with equality constraints”, SIAM J Control Optim, 42:2 (2003), 729–745  crossref  mathscinet  zmath  isi
    13. O. A. Brezhneva, Yu. G. Evtushenko, A. A. Tret'yakov, “New numerical methods and some applied aspects of the $p$-regularity theory”, Comput. Math. Math. Phys., 46:11 (2006), 1896–1909  mathnet  crossref  mathscinet  elib  elib
    14. Brezhneva O.A., Tret'yakov A.A., “The p-factor-Lagrange methods for degenerate nonlinear programming”, Numer Funct Anal Optim, 28:9–10 (2007), 1051–1086  crossref  mathscinet  zmath  isi  elib
    15. Yu. G. Evtushenko, A. A. Tret'yakov, “$p$th-order approximation of the solution set of nonlinear equations”, Comput. Math. Math. Phys., 53:12 (2013), 1763–1780  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    16. A. F. Izmailov, “New implementations of the 2-factor method”, Comput. Math. Math. Phys., 55:6 (2015), 922–934  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    17. Tret'yakov A., Tyrtyshnikov E., Ustimenko A., “The Triviality Condition For Kernels of Quadratic Mappings and Its Application in Optimization Methods”, Russ. J. Numer. Anal. Math. Model, 32:4 (2017), 267–274  crossref  isi
    18. Szczepanik E., Tret'yakov A.A., Tyrtyshnikov E.E., “Solution Method For Underdetermined Systems of Nonlinear Equations”, Russ. J. Numer. Anal. Math. Model, 34:3 (2019), 163–174  crossref  isi
    19. Evtushenko Yu.G., Tret'yakov A.A., “2-Factor Newton Method For Solving Constrained Optimization Problems With a Degenerate Kuhn-Tucker System”, Dokl. Math., 99:2 (2019), 129–131  crossref  isi
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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