报告时间：2019年5月24号上午10:30-11:30

地点：勤园21幢304室

摘要：

By making use of the normal and skew-Hermitian splitting (NSS) method

as the inner solver for the modified Newton method, we establish a class of modified Newton-NSS method for solving large sparse systems of nonlinear equations with positive definite Jacobian matrices at the solution points. Under proper conditions, the local convergence theorem is proved. Furthermore, the successive-overrelaxation (SOR) technique has been proved quite successfully in accelerating the convergence rate of the NSS or the Hermitian and skew-Hermitian splitting (HSS) iteration method, so we employ the SOR method in the NSS iteration, and we get a new method, which is called modified Newton SNSS method. Numerical results are given to examine its feasibility and effectiveness.

报告人简介：

吴庆标，浙江大学数学科学院科学与工程计算研究所所长，浙江应用数学研究会副理事长，浙江大学工业技术研究院院长助理。近十年来，主持和完成国家自然科学基金面上项目3项以及浙江省自然科学基金重点项目1项等。

主要研究方向：非线性数值代数，非线性数值最优化，大数据分析，计算机图形与图像处理，数值计算方法，Monte Carlo方法，计算机模拟，遗传算法。