Volume 16, Issue 1
A hybrid method for nonlinear least squares problems

Z. Liu & L. Sun

Numer. Math. J. Chinese Univ. (English Ser.)(English Ser.) 16 (2007), pp. 92-96

Published online: 2007-02

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  • Abstract
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.
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@Article{NM-16-92, author = {Z. Liu and L. Sun}, title = {A hybrid method for nonlinear least squares problems}, journal = {Numerical Mathematics, a Journal of Chinese Universities}, year = {2007}, volume = {16}, number = {1}, pages = {92--96}, abstract = { 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.}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/nm/10082.html} }
TY - JOUR T1 - A hybrid method for nonlinear least squares problems AU - Z. Liu & L. Sun JO - Numerical Mathematics, a Journal of Chinese Universities VL - 1 SP - 92 EP - 96 PY - 2007 DA - 2007/02 SN - 16 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/nm/10082.html KW - AB - 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.
Z. Liu and L. Sun. (2007). A hybrid method for nonlinear least squares problems. Numerical Mathematics, a Journal of Chinese Universities. 16 (1). 92-96. doi:
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