Presents two algorithms for LC unconstrained optimization problems which use the second order Dini upper directional derivative. Simplicity of the methods to use and perform; Discussion of related properties of the it...Presents two algorithms for LC unconstrained optimization problems which use the second order Dini upper directional derivative. Simplicity of the methods to use and perform; Discussion of related properties of the iteration function.展开更多
In this paper, we present a family of general New to n-like methods with a parametric function for finding a zero of a univariate fu nction, permitting f′(x)=0 in some points. The case of multiple roots is n ot treat...In this paper, we present a family of general New to n-like methods with a parametric function for finding a zero of a univariate fu nction, permitting f′(x)=0 in some points. The case of multiple roots is n ot treated. The methods are proved to be quadratically convergent provided the w eak condition. Thus the methods remove the severe condition f′(x)≠0. Based on the general form of the Newton-like methods, a family of new iterative meth ods with a variable parameter are developed.展开更多
We consider a blockwise extended system and an efficient quadratically convergent Newton-like method for approximations of simple (cubic) singular solutions of nonlinear problems with sparse properties.
基金CNPq of Brazil and the National Natural Science Foundation of China.
文摘Presents two algorithms for LC unconstrained optimization problems which use the second order Dini upper directional derivative. Simplicity of the methods to use and perform; Discussion of related properties of the iteration function.
文摘In this paper, we present a family of general New to n-like methods with a parametric function for finding a zero of a univariate fu nction, permitting f′(x)=0 in some points. The case of multiple roots is n ot treated. The methods are proved to be quadratically convergent provided the w eak condition. Thus the methods remove the severe condition f′(x)≠0. Based on the general form of the Newton-like methods, a family of new iterative meth ods with a variable parameter are developed.
文摘We consider a blockwise extended system and an efficient quadratically convergent Newton-like method for approximations of simple (cubic) singular solutions of nonlinear problems with sparse properties.
基金Project supported by Key Industrial Projects of Major Science and Technology Projects of Zhejiang(No.2009C11023)Foundation of Zhejiang Educational Committee(No.Y200907886)Major High-Tech Industrialization Project of Jiaxing(No.2009BY10004)
