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AN ITERATED-SUBSPACEMINIMIZATION METHODS WITHSYMMETRIC RANK-ONE UPDATING 被引量:1

AN ITERATED-SUBSPACEMINIMIZATION METHODS WITHSYMMETRIC RANK-ONE UPDATING
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摘要 We consider an Iterated-Subspace Minimization(ISM) method for solving large-scale unconstrained minimization problems. At each major iteration of the method,a two-dimensional manifold, the iterated subspace, is constructed and an approximate minimizer of the objective function in this manifold then determined, and a symmetric rank-one updating is used to solve the inner minimization problem. We consider an Iterated-Sub space Minimization(ISM) method for solving large-scale unconstrained minimization problems. At each major iteration of the method, a two-dimensional manifold, the iterated subspace, is constructed and an approximate mmimizer of the objective function in this manifold then determined, and a symmetric rank-one updating is used to solve the inner minimization problem.
关键词 大型无约束最优化 迭代子空间最小化 无约束规划 对称秩单较正 Large-scale problem, unconstrained programming, iterated subspace, symmetric rank-one updating.
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  • 1L.P. Sun(Department of Mathematics, Nanjing University, Jiangsu, China).A RESTRICTED TRUST REGION METHOD WITH SUPERMEMORY FOR UNCONSTRAINED OPTIMIZATION[J].Journal of Computational Mathematics,1996,14(3):195-202. 被引量:1
  • 2Osborne M R,Sun L P.A new approach to symmetric rank-one updating[].Journal of the Society for Industrial and Applied Mathematics Series B Numerical Analysis.
  • 3Sun L P.The Convergence of Quasi-Newton Matrices Generated By the Self-Scaling Symmetric Rank One Update[].Indian Journal of Pure and Applied Mathematics.1998

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