Yu. A. Chernyaev, “Convergence of the gradient projection method for a class of nonconvex mathematical programming problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 2005, no. 12, 76–79; Russian Math. (Iz. VUZ), 49:12 (2005), 71

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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2005, Number 12, Pages 76–79 (Mi ivm1144)

This article is cited in 6 scientific papers (total in 6 papers)

Brief communications

Convergence of the gradient projection method for a class of nonconvex mathematical programming problems

Yu. A. Chernyaev

Tupolev Kazan State Technical University

Full-text PDF (117 kB) Citations (6)

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Received: 22.09.2004
Revised: 27.04.2005

Bibliographic databases:

Document Type: Article

UDC: 519.853

Language: Russian

Citation: Yu. A. Chernyaev, “Convergence of the gradient projection method for a class of nonconvex mathematical programming problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 2005, no. 12, 76–79; Russian Math. (Iz. VUZ), 49:12 (2005), 71–74

Citation in format AMSBIB

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\by Yu.~A.~Chernyaev

\paper Convergence of the gradient projection method for a~class of nonconvex mathematical programming problems

\jour Izv. Vyssh. Uchebn. Zaved. Mat.

\yr 2005

\issue 12

\pages 76--79

\mathnet{http://mi.mathnet.ru/ivm1144}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2229261}

\transl

\jour Russian Math. (Iz. VUZ)

\yr 2005

\vol 49

\issue 12

\pages 71--74

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https://www.mathnet.ru/eng/ivm1144

https://www.mathnet.ru/eng/ivm/y2005/i12/p76

This publication is cited in the following 6 articles:

V. I. Zabotin, Yu. A. Chernyaev, “Newton's method for minimizing a convex twice differentiable function on a preconvex set”, Comput. Math. Math. Phys., 58:3 (2018), 322–327
Yu. A. Chernyaev, “Iterative algorithm for minimizing a convex function at the intersection of a spherical surface and a convex compact set”, Comput. Math. Math. Phys., 57:10 (2017), 1607–1615
Yu. A. Chernyaev, “Convergence of the gradient projection method and Newton's method as applied to optimization problems constrained by intersection of a spherical surface and a convex closed set”, Comput. Math. Math. Phys., 56:10 (2016), 1716–1731
Yu. A. Chernyaev, “An extension of the gradient projection method and Newton's method to extremum problems constrained by a smooth surface”, Comput. Math. Math. Phys., 55:9 (2015), 1451–1460
A. M. Dulliev, “A relaxation method for minimizing a smooth function on a generalized spherical segment”, Comput. Math. Math. Phys., 54:2 (2014), 219–234
Yu. A. Chernyaev, “Generalization of Newton's method to the class of nonconvex mathematical programming problems”, Russian Math. (Iz. VUZ), 52:1 (2008), 72–75

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Известия высших учебных заведений. Математика

Russian Mathematics (Izvestiya VUZ. Matematika)

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Abstract page:	554
Full-text PDF :	129
References:	64
First page:	1

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