id: 05982505
dt: j
an: 05982505
au: Yuan, Gonglin; Lu, Sha; Wei, Zengxin
ti: A new trust-region method with line search for solving symmetric nonlinear
    equations.
so: Int. J. Comput. Math. 88, No. 10, 2109-2123 (2011).
py: 2011
pu: Taylor \& Francis, Abingdon
la: EN
cc: 
ut: trust-region method; nonlinear equations; line search; global convergence;
    superlinear convergence
ci: 
li: doi:10.1080/00207160.2010.526206
ab: Summary: A new trust-region method is proposed for symmetric nonlinear
    equations. In this given algorithm, if the trial step is unsuccessful,
    one line search will be used instead of repeatedly solving the
    subproblem of the normal trust-region method. Moreover, the global
    convergence is established under mild conditions by a new way. The
    quadratic convergence of the presented method is also proved. Numerical
    results show that the method is interesting for the given problems.
rv: