Inverse eigenproblem of anti-symmetric and persymmetric matrices and its approximation

Inverse Problems

Volumn 19, Issue 1, 2002, Pages 217-225

  Xie, Dongxiu ^a   Sheng, Yanping ^a  

^a BEIJING INSTITUTE OF MACHINERY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; EIGENVALUES AND EIGENFUNCTIONS; MATRIX ALGEBRA; PROBLEM SOLVING;

PERSYMMETRIC MATRICES;

INVERSE PROBLEMS;

EID: 0037275181     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/19/1/312     Document Type: Article

References (18)

1. Li Nian 1997 A matrix inverse eigenvalue problem and its application Linear Algebr. Appl. 266 143-52
2. Li Nian and Chu K-W E 1994 Designing the Hopfield neural network via pole assignment Int. J. Syst. Sci. 25 669-81
3. Xin Chen 1997 Theoretical Method and Its Application of Designing of Structural Dynamics in Machine (Beijing: The Mechanical Industry (Chinese) Press) pp 165-202
4. Jiang Zhengxin and Lu Qishao 1986 On optimal approximation of a matrix under spectral restriction Math. Numer. Sin. 1 47-52 (in Chinese)
5. Golub G H and Van Loan C F 1989 Matrix Computations (Baltimore, MD: The Johns Hopkins University Press)
6. Hu X Y, Zhang L and Xie D X 1998 The solvability conditions for the inverse eigenvalue problem of bisymmetric matrices Math. Numer. Sin. 20 410-8
7. Allwright J C and Woodgate K G 1990 Errata and addendum to: 'Positive semidefinite matrices characterization via conical hulls and least-squares solutions of a matrix equation' SIAM J. Control Optim. 28 250-1
8. Sun J G 1987 Least-squares solution of a class of inverse eigenvalue problems Math. Numer. Sin. 9 206-16 (in Chinese)
9. Woodgate K G 1996 Least-squares solution of F = PG over positive semidefinite symmetric P Linear Algebr. Appl. 245 171-90
10. Wu L and Cain B 1996 The re-nonnegative definite solutions to the matrix inverse problem AX = B Linear Algebr. Appl. 236 137-46
11. Zhang L 1986 The approximation on the closed convex cone and its numerical application Hunan Ann. Math. 6 43-8 (in Chinese)
12. Zhang L 1995 A class of inverse eigenvalue problem for symmetric nonnegative matrices J. Hunan Educ. Inst. 13 11-17 (in Chinese)
13. Anping Liao 1998 The necessary and sufficient conditions for the solvability of a class of the matrix inverse problem Numer. Math.-J. Chin. Univ. 7 195-200
14. Higham N. J 1988 Computing a nearest symmetric positive semidefinite matrix Linear Algebr. Appl. 103 103-18
15. 2 and a matrix programming problem Linear Algebr. Appl. 131 107-23
16. Xie D X, Hu X Y and Zhang L 2003 The solvability conditions for inverse eigenproblem of symmetric and anti-persymmetric matrices and its approximation Numerical Linear Algebr. Appl. at press
17. Xie D X 2000 Least-squares solution for the inverse eigen-pair problem of nonnegative definite matrices Comput. Math. Appl. 40 1241-51
18. Cheney E W 1966 Introduction to Approximation Theory (New York: McGraw-Hill)