The Nekrasov diagonally dominant degree on the Schur complement of Nekrasov matrices and its applications

题目：The Nekrasov diagonally dominant degree on the Schur complement of Nekrasov matrices and its applications

报告人： Professor Liu Jianzhou (刘建洲教授)， 湘潭大学数学与计算科学学院

时间： 2018年4月20日上午10:00-11:00

地点：工商楼200-9

摘要：In this showing, we estimate the Nekrasov diagonally dominant degree on the Schur complement of Nekrasov matrices. As an application, we oer new bounds of the determinant for several special matrices, which improve the related results in certain case.
          Further, we give an estimation on the innity norm bounds for the inverse of Schur complement of Nekrasov matrices. Finally, we introduce new methods called Schur-based super relaxation iteration (SSSOR) method and Schur-based conjugate gradient(SCG) method to solve the linear equation by reducing order. The numerical examples illustrate the eectiveness of the derived result.


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