论文信息 - The solvability conditions for the inverse eigenvalue problems of reflexive matrices

The solvability conditions for the inverse eigenvalue problems of reflexive matrices

This paper involves related inverse eigenvalue problems of reflexive matrices and their optimal approximation, the sufficient and necessary conditions under which the solvable problems of inverse eigenvalue, and the general provided form of the solution. Furthermore, the algorithm to compute the optimal approximate solution and some numerical experiments are given.

Fu-Zhao Zhou | Fu-Zhao Zhou

[1] Hsin-Chu Chen,et al. The SAS Domain Decomposition Method for Structural Analysis , 1988 .

[2] G. Smith,et al. Numerical Solution of Partial Differential Equations: Finite Difference Methods , 1978 .

[3] K. T. Joseph. Inverse eigenvalue problem in structural design , 1992 .

[4] N. Higham. COMPUTING A NEAREST SYMMETRIC POSITIVE SEMIDEFINITE MATRIX , 1988 .

[5] Xiyan Hu,et al. The solvability conditions for the inverse eigenvalue problems of centro-symmetric matrices☆ , 2003 .

[6] Ole H. Hald,et al. Inverse eigenvalue problems for Jacobi matrices , 1976 .

[7] Gene H. Golub,et al. The numerically stable reconstruction of a Jacobi matrix from spectral data , 1977, Milestones in Matrix Computation.

[8] G. Golub,et al. A survey of matrix inverse eigenvalue problems , 1986 .

[9] G. M. L. Gladwell,et al. Inverse Problems in Vibration , 1986 .

[10] J. Z. Zhu,et al. The finite element method , 1977 .

[11] Hsin-Chu Chen. Generalized Reflexive Matrices: Special Properties and Applications , 1998, SIAM J. Matrix Anal. Appl..

[12] Xie,et al. THE SOLVABILITY CONDITIONS FOR INVERSE EIGENVALUE PROBLEM OF ANTI-BISYMMETRIC MATRICES , 2002 .

[13] A. Sameh,et al. A matrix decomposition method for orthotropic elasticity problems , 1989 .