Spectrum Constraints Of Several Types Of Solid Matrix Beam The Optimal Approximation

Inverse problems of matrices have been widely used in control theory, economic field, vibration theory and civil construction engineering. We will systematically study some generalized inverse characterize value problems of matrices in this M.S. thesis and mainly discuss the following problems:Problem I Given = diag,whereare real matrices of one order or two orders , findsuch thatProblem II Given such that where S is the set of the solutions of Problem, i.e.What we mainly discussed are as follows:(1) S1 S2 the set of real matrices ,S2 is the set of real symmetrical matrices;(2) S1 S2 are respectively the set of real symmetrical matrices and the set of realanti-symmetrical matrices;(3) S1 S2 are both the set of sub-symmetrical matrices;(4) S1 S2 are both the set of generalized central symmetric matrices;(5) S1 S2 are respectively the set of generalized central symmetrical matrices and the setof generalized anti-central symmetric matrices;On the base of studying the basic properties of the matrices, the expression of solutions and some numerical examples are presented.