The solvability conditions for the inverse eigenvalue problems of centro-symmetric matrices

Linear Algebra and Its Applications

Volumn 364, Issue , 2003, Pages 147-160

  Zhou, Fu Zhao ^a,b   Hu, Xi Yan ^a   Zhang, Lei ^c  

^a HUNAN UNIVERSITY   (China)

^b Changsha Commun Univ   (China)

^c Hunan Computing Center   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037400686     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(02)00550-5     Document Type: Article

References (23)

1. N. Li, and K.-W.E. Chu Designing the Hopfield neural network via pole assignment Internat. J. Systems Sci. 25 1994 669 681
2. G.M.L. Gladwell The inverse problem for the vibrating beam Proc. Roy. Soc. A 393 1984 277 295
3. O. Hald, On discrete and numerical Sturm-Liouville problems, Ph.D. Dissertation, New York University, New York, 1972
4. C. Xin, Theroretical Method and its Applications of Designing of Structural Dynamics in Machine, The Machamical Industry Press, 1997, pp. 165-202 (in Chinese)
5. K.T. Joseph Inverse eigenvalue problem in structural design AIAA J. 10 1992 2890 2896
6. D. Boley, and G.H. Golub A survey of matrix inverse eigenvalue problems Printed in the UK Inverse Problem 3 1987 595 622
7. Friedland, Nocedall, Overton, Formulation and analysis of numerical methods for inverse eigenvalue problems, SIAM J. Numer. Anal. 24 (1987)
8. C. de Boor, and G.H. Golub The numerically stable reconstruction of a Jacobi matrix from spectral data Linear Algebra Appl. 21 1978 245 260
9. Z.X. Jiang, and Q.S. Lu On optimal approximation of a matrix under spectral restrication Math. Numer. Sinica 8 1 1986 47 52
10. J.G. Sun Two kinds of inverse eigenvalue problems for real symmetric matrices Math. Numer. Sinica 3 1988 282 290
11. L. Zhang A class of inverse eigenvalue problem for symmetric nonnegative definite matrices J. Hunan Educational Inst. 2 1995 11 17
12. N.J. Highan Computing a nearest symmetric positive semidefinite matrix Linear Algebra Appl. 103 1988 103 118
13. X.Y. Hu, L. Zhang, and D.X. Xie The solvability conbditions for the inverse eigenvalue problem of bisymmetric matrices Math. Numer. Sinica 4 1998 409 418
14. X.Y. Hu, L. Zhang, F.Z. Zhou, The inverse eigenvalue problem of symmetric ortho-symmetric matrices, Math. Numer. Sinica 1 (2003)
15. A. Liao, and D.X. Xie Least-squares solution of a class of inverse eigenvalue problems for bisymmetric nonnegative definite matrices Math. Numer. Sinica 2 2001 209 218
16. D.X. Xie, and L. Zhang Least-squares solutions of inverse problems for anti-symmetric matrices J. Eng. Math. 4 1993 25 34
17. K.G. Woodgate Least-squares solution of F=PG over positive semidefinite symmetric P Linear Algebra Appl. 245 1996 171 190
18. I.J. Good The inverse of a entro-symmetric matrix Technometrics 12 1970 153 156
19. Z. Xu, K.Y. Zhang, and Q. Lu Fast Algorithms of Matrices of Toeplitz form 1999 Northwest Industry University Press
20. W.C. Pye, T.L. Boullion, and T.A. Atchison The pseudoinverse of a centro-symmetric matrix Linear Algebra Appl. 6 1973 201 204
21. L. Zhang The approximation on the closed convex cone and its numerical application Hunan Ann. Math. 6 1986 43 48
22. Z. Jiang, and Q. Lu On optimal approximation of a matrix under spectral restriction Math. Numer. Sinica 1 1988 47 52
23. G.H. Golub, and C.F. Van Loan Matrix Computations 1989 The Johns Hopkins University Press Baltimore, MD