【摘 要】
：
Trust region (TR) algorithms are a class of recently developed algorithms for nonlinear optimization. A new family of TR algorithms for unconstrained optimizati
【机 构】
：
State Key Laboratory of Scientific/Engineering Computing, Institute of Computational Mathematics and
论文部分内容阅读
Trust region (TR) algorithms are a class of recently developed algorithms for nonlinear optimization. A new family of TR algorithms for unconstrained optimization, which is the extension of the usual TR method, is presented in this paper. When the objective function is bounded below and continuously. differentiable, and the norm of the Hesse approximations increases at most linearly with the iteration number, we prove the global convergence of the algorithms. Limited numerical results are reported, which indicate that our new TR algorithm is competitive.
其他文献
近年来,随着保护地栽培面积的不断扩大以及连年重茬,南方根结线虫给西甜瓜生产带来的经济损失不断增加,目前的研究表明西甜瓜栽培种中均未发现抗性材料,筛选抗南方根结线虫的
县报是一张地方小报,应当富有乡土气息。扬小报优势,创地方特色,这应当是我们的努力方向。但是,为了适应改革开放形势,促进生产力发展,又不能拘泥于地方性。地方特色并不是
This paper is to treat implicit difference approximations to hyperbolic conservation laws with non-convex flux. The convergence of the approximate solution towa
In this paper, we consider an inverse scattering problem for an obstacle D(∪)R2 with Robin boundary condition. By applying the point source, we give a regulari
This is the third part of the paper for the rotated Q1 nonconforming element on quadrilateral meshes for general second order elliptic problems. Some optimal nu
Some properties of a newly developed polynomial preserving gradient recovery technique are discussed. Both practical and theoretical issues are addressed. Bound
It is known that for a given matrix A of rank r, and a set D of positive diagonal matrices, supw∈D ||(W1/2A)+W1/2||2 = (mini σ+(A(i)))-1, in which (A(i)) is a
We propose in this paper an alteating A-φ method for the quasi-magnetostatic eddy current problem by means of finite element approximations. Bounds for continu
现实主义水彩画家,可以说是人文主义的画家。他的作品以妇女和儿童为主,画出了生活的平淡,却又让你怦然心动,那是一种平和中的感动,激情中的平淡
Realist watercolor painte