지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
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We present a new algorithm for solving a system of nonlinear equations with convex constraints which combines proximal point and projection methodologies. Compared with the existing projection methods for solving the problem, we use a different system of linear equations to obtain the proximal point; and moreover, at the step of getting next iterate, our projection way and projection region are also different. Based on the Armijo-type line search procedure, a new hyperplane is introduced. Using the separate property of hyperplane, the new algorithm is proved to be globally convergent under much weaker assumptions than monotone or more generally pseudomonotone. We study the convergence rate of the iterative sequence under very mild error bound conditions.
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참고문헌 (19)
참고문헌 신청
A. J. Wood / 1996 / Power Generations, Operations, and Control / Wiley
B. T. Polyak / 1987 / Introduction to Optimization / Optimization Software Inc., Publications Division
C. W. Wang / 2007 / A projection method for a system of nonlinear monotone equations with convex constraints / Math. Methods Oper. Res 66 (1) : 33 ~ 46
C. W. Wang / 2009 / A superlinearly convergent projection method for con- strained systems of nonlinear equations / J. Global Optim 44 (2) : 283 ~ 296
D. R. Han / 2008 / A hybrid entropic proximal decomposition method with self-adaptive strategy for solving variational inequality problems / Comput. Math. Appl 55 (1) : 101 ~
B. T. Polyak / 1987 / Introduction to Optimization / Optimization Software Inc., Publications Division
C. W. Wang / 2007 / A projection method for a system of nonlinear monotone equations with convex constraints / Math. Methods Oper. Res 66 (1) : 33 ~ 46
C. W. Wang / 2009 / A superlinearly convergent projection method for con- strained systems of nonlinear equations / J. Global Optim 44 (2) : 283 ~ 296
D. R. Han / 2008 / A hybrid entropic proximal decomposition method with self-adaptive strategy for solving variational inequality problems / Comput. Math. Appl 55 (1) : 101 ~
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