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A Hybrid Method for Nonlinear Least Squares Problems

A Hybrid Method for Nonlinear Least Squares Problems
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摘要 A negative curvature method is applied to nonlinear least squares problems with indefinite Hessian approximation matrices. With the special structure of the method, a new switch is proposed to form a hybrid method. Numerical experiments show that this method is feasible and effective for zero-residual, small-residual and large-residual problems. A negative curvature method is applied to nonlinear least squares problems with indefinite Hessian approximation matrices. With the special structure of the method, a new switch is proposed to form a hybrid method. Numerical experiments show that this method is feasible and effective for zero-residual, small-residual and large-residual problems.
关键词 杂交法 最小二乘问题 非线性 曲率 数值逼近 Nonlinear least squares switch hybrid method negative curvature BP factorization.
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参考文献11

  • 1James R. Bunch,Linda Kaufman,Beresford N. Parlett.Decomposition of a symmetric matrix[J].Numerische Mathematik.1976(1) 被引量:1
  • 2Fletcher R,Xu C.Hybrid methods for nonlinear least squares[].IMA Journal of Numerical Analysis.1987 被引量:1
  • 3Marquardt D.An algorithm for least-squares estimation of nonlinear parameters[].SIAM Journal on Applied Mathematics.1963 被引量:1
  • 4Levenberg K.A method for the solution of certain problems in least squares[].The Quarterly Journal of Mechanics and Applied MaThematics.1944 被引量:1
  • 5Brown K M,Dennis J E.A new algorithm for nonlinear least squares curve fitting[].Mathematical Software.1971 被引量:1
  • 6Dennis J E,Robert J R,Schnabel B.Numerical Methods for Unconstrained Optimization and Nonlinear Equations[]..1983 被引量:1
  • 7Dennis J E,Gay D M,Welsch R E.Algorithm 573-NL2SOL, An adaptive nonlinear least-squares algorithm[].ACM T Math Software.1981 被引量:1
  • 8Zhang J Z,,Xu C X.A Class of Trust Region Dogleg Methods for Unconstrained Minimization. Research Report MA-94-09 . 1994 被引量:1
  • 9Toint PH L.On large scale nonlinear least squares calculations[].SIAM J Sci Stat Comput.1987 被引量:1
  • 10Toint P L.On large-scale nonlinear least squares calculatings[].SIAM Journal on Scientific and Statistical Computing.1987 被引量:1

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