On the gradient method in a hubert space in the case of nonisolated minima

Computational Mathematics and Mathematical Physics

Volumn 39, Issue 4, 1999, Pages 521-524

  Izmailov, A F ^a   Tret'yakov, A A ^a  

^a RUSSIAN ACADEMY OF SCIENCES   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 8644241259     PISSN: 09655425     EISSN: 15556662     Source Type: Journal    
DOI: None     Document Type: Article

References (9)

1. Bobylev, N.A., Ismailov, I.G., and Korovin, S.K., Gradient Procedures in Problems with Nonisolated Extremals, Dokl. Ross. Akad. Nauk, 1997, vol. 354, no. 1, pp. 11-13.
2. Pshenichnyi, B.N. and Danilin, Yu.M, Chislennye metody v ekstremal'nykh zadachakh (Numerical Methods for Extremal Value Problems), Moscow: Nauka, 1975.
3. Bertsekas, D., Constrained Optimization and Lagrange Multipliers Methods, New York: Academic, 1982. Translated under the title Uslovnaya optimizatsiya i metody mnozhitelei Lagranzha, Moscow: Radio i Svyaz', 1987.
4. Gol'shtein, E.G. and Tret'yakov, N.V., Modifitsirovannye funktsii Lagranzha (Modified Lagrange Functions), Moscow: Nauka, 1989.
5. Karmanov, V.G., Matematicheskoe programmirovanie (Mathematical Programming), Moscow: Nauka, 1986.
6. Antipin, A.S., Methods of Nonlinear Programming Based on the Prime and Dual Modifications of the Lagrange Function, Preprint of All-Russian Institute of System Studies, Moscow, 1979.
7. Vasil'ev, P.P., Chislennye metody resheniya ekstremal'nykh zadach (Numerical Methods for Solving Extremum Value Problems), Moscow: Nauka, 1988.
8. Balakrishnan, A., Introduction to Optimization Theory in a Hilbert Space, Heidelberg: Springer-Verlag, 1971. Translated under the title Vvedenie v teoriyu optimizatsii v gil'bertovom prostranstve, Moscow: Mir, 1974.
9. VasiPev, P.P., Lektsiipo metodam resheniya ekstremal'nykh zadach (Lectures on Methods for Solving Extremal Value Problems), Moscow: Mosk. Cos. Univ., 1974.