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AN ALTERNATING PROJECTIONS ALGORITHM FOR SOLVING LINEAR PROGRAMS

PHAM CANH DUONG, LE THANH HUE

Abstract

The method of alternating projections was first introduced by Von Neumann in 1933 for finding the projection of a given point onto the intersection of closed subspaces of a Hilbert space. Since its introduction this method has received considerable attention and has found application in many areas of mathematics and physics as well as in other fields of science and engineering. In this paper we show that recent results of the method of alternating projections for general convex feasibility problems may be used to construct a simple algorithm for solving linear programs. This new algorithm is simple to implement, computationally stable and is inherently parallel.

Viện Toán học, Viện Hàn lâm Khoa học và Công nghệ Việt Nam

Địa chỉ: Số 18 đường Hoàng Quốc Việt, quận Cầu Giấy, Hà Nội

Điện thoại: 024 37563474 - Fax: 024 37564303

Email: vientoan@math.ac.vn

Viện nghiên cứu cao cấp về toán Hội Toán học Mỹ MathScinet Thư viện số (VAST) Arxiv
Lịch hoạt động chung Lịch sử dụng phòng, hội trường, hội thảo Ảnh hoạt động
Giới thiệu Đăng nhập Đăng ký tài khoản Quên mật khẩu Chính sách bảo mật
Messages2TimelineExceptionsViews8RouteQueries108Models431MailsGateSessionRequest
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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