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学术报告: 厦门大学数学科学学院教授、博导 白 正 简

发布时间:2015-04-20
 

报告人: 厦门大学数学科学学院教授、博导               

报告题目: A Riemannian Newton Algorithm for Nonlinear Eigenvalue Problems

 

    间:2015424(周五)上午10:30

 

    点:理学院楼A-302

 

报告对象:教师、研究生及高年级本科生

 

Abstract: We give the formulation of a Riemannian Newton algorithm for solving a class of nonlinear eigenvalue problems by minimizing a total energy function subject to the orthogonality constraint. Under some mild assumptions, we establish the global and quadratic convergence of the proposed method. Moreover, the positive definiteness condition of the Riemannian Hessian of the total energy function at a solution is derived. Some numerical tests are reported to illustrate the efficiency of the proposed method for solving large-scale problems.