Numerical linear algebra and optimization : proceedings of the 2003' International Conference on...

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作   者:edited by Ya-xiang Yuan.

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ISBN:9787030142160

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简介

   This conference was the 4th of the biennial conferences, after the first one in Qingdao(1997), the second one in Nanjing(1999) and the third in Dunhuang(2003). About 80 participants attended this conference. It is my great pleasure and honour that Professor M.J.D. Powell (who supervised my Ph.D. about twenty years ago), FRS, of University of Cambridge, came and gave the conference's first invited lecture. I am also very glad that we had invited speakers such as Binsheng He, Masao Fukushima, Xingsi Li, Qin Ni, Linqun Qi, M. Raydan, E.W. Sachs, Wenyu Sun, T. Terlaky, Chuanlong Wang, Zengxi Wei, Naihua Xiu, Shufang Xu, Jason Zhang, Liansheng Zhang, Shao-liang Zhang, and Zhenyue Zhang, who reported the recent advances in numerical optimization and numerical linear algebra at the conference. Apart from the academic talks at the conference, there were also informal discussions on the developments of optimization and numerical linear algebra, particularly about promotions of international exchanges and collaborations in these two areas. The conference organized a one-day sightseeing tour along the beautiful Li River, which was enjoyed by all the participants.   

目录

preface

part i invited lectures

1

the use of low-rank updates in interior-point methods

e.d. andersen c. roos t. terlaky t. trafalis j.p. warners

2

study on approximate proximal point algorithms for monotone variational inequalities

bingsheng he maijian qian yumei wang

3

some optimality conditions for minimax problems and nonlinear programs

elijah polak liqun qi

4

on updating the inverse of a kkt matrix

m.j.d. powell

5

low-cost methods for nonlinear large-scale matrix equations

marcos raydan

6

extended conjugate residual methods for solving nonsymmetric linear systems

tomohiro sogabe shaoliang zhang

.7

necessary conditions and sufficient conditions for non-decomposable two-stage min-max optimizations

chuanlong wang zongben xu

8

some recent progress in unconstrained nonlinear optimization

zengxin wei caohang yu

9

superlinear convergence ur-algorithms for d.c. minimization

zunquan xia li-ping pang wei wang

10

principal manifolds and nonlinear dimensionality reduction via tangent space alignment

zhenyue zhang hongyuan zha

part ii contributed papers

11

preconditioned multiple search direction conjugate gradient method

tongxiang gu xingping liu xuebin chi

12

existence and uniqueness of the aho search direction in primal-dual interiorpoint algorithms for the quadratic semidefinite programming

jingjing huang fengmin xu yongxiang ling

13

a multisplitting and schwarz iteration scheme for solving implicit complementarity problems

chenliang li jingping zeng donghui li

14

new insights into penalty functions

xingsi li $haohua pan

15

global convergence properties of the conjugate descent method with armijo-type line searches

$hujun lian changyu wang

16

a new class of memory gradient methods with inexact line searches

zhenjun $hi

17

convergence properties of nonmonotone spectral projected gradient methods

c.y. wang q. liu x.m. yang

18

a subspace trust region method for large scale unconstrained optimization

zhouhong wang zaiwen wen yaxiang yuan

19

a trust region method for large scale inverse problems in atmospheric image restoration

zaiwen wen yanfei wang

20

number theoretic global optimization searching algorithm based on evolution

$hounan zhong weihua wang xuexiao you


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