数学与系统科学研究院

计算数学所学术报告

报告人：        Deng Yuanbei

Institute of Computational Mathematics and Scientific/Engineering Computing , CAS

报告题目 On Inverse Eigenvalue Problem and Linear Matrix Equations

Abstract: Inverse eigenvalue problem and linear matrix equations play important roles in particle physics and geology ,control theory, the inverse Sturm-Liouville problem, inverse problems of vibration theory, digital image and signal processing, photogrammetry, finite elements and multidimensional approximation. In this report, we discuss the inverse eigenvalue problem and various types of linear matrix equations, such as Lyapunov matrix equations, Sylvester matrix equations and Stein matrix equations either in real matrix sets or complex matrix sets. The topics involve consistency, explicit solutions, numerical solutions (approximation solutions), least squares solutions, minimum norm solutions (optimal approximation solutions), analysis of the solutions (convergence, complexity, stability) by the methods of generalized inverses of matrices, Kronecker products and vector operators, matrix decompositions (factorizations), approximation principle of Hilbert space or by the iterative methods.

报告时间：2004年11月3日  下午4：00-5：00

报告地点：科技综合楼三层报告厅