In this paper, a modified descent HS conjugate gradient method is proposed for solving unconstrained optimizat...
Chunling Xu College of Humanities and Sciences of Northeast Normal University Zhongbo Sun Department of Mathematical Education, College of Humanities and Sciences of Northeast Normal University
In this paper we first present a CG-type method for inverse eigenvalue problem of constructing real and symmetric matrices M,D and K for the quadratic pencil Q(λ)=λ^(2)M+λD+K,so that Q(λ)has a prescribed subset of eigenvalues and eigenvectors.This method can determine the solvability of the inverse eigenvalue problem automatically.We then consider the least squares model for updating a quadratic pencil Q(λ).More precisely,we update the model coefficient matrices M,C and K so that(i)the updated model reproduces the measured data,(ii)the symmetry of the original model is preserved,and(iii)the difference between the analytical triplet(M,D,K)and the updated triplet(M_(new),D_(new),K_(new))is minimized.In this paper a computationally efficient method is provided for such model updating and numerical examples are given to illustrate the effectiveness of the proposed method.
In this paper, we propose a new filter-trust region algorithm for unconstrained optimization problems. A new f...
Zhongbo Sun, Chunling Xu Department of Mathematical Education, College of Humanities and Sciences of Northeast Normal University Shuzhen Jiang College of Humanities and Sciencesof Northeast Normal University
A conic filter-trust region algorithm is proposed for unconstrained optimization problems.The method can be re...
Zhongbo Sun is with Department of Mathematical Education,College of Humanities and Sciences of Northeast Normal University,Boshuo Road 1488,Changchun,China
