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The solvability conditions for a class of constrained inverse eigenvalue problem of antisymmetric matrices
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Abstract
In this paper, a class of constrained inverse eigenvalue problem for antisymmetric matrices and their optimal approximation problem are considered. Some sufficient and necessary conditions of the solvability for the inverse eigenvalue problem are given. A general representation of the solution is presented for a solvable case. Furthermore, an expression of the solution for the optimal approximation problem is given.
참고문헌 (5)
- "\it A class of inverse eigenvalue problems of symmetric matrices}", pp.65~ (1990), Numer. Math. J. Chinese Univ.
- "\it Least-Squares Solutions of Inverse Problems for Anti-symmetric Matrices}", pp.25~ (1993)
- "it The solvability conditions for the inverse eigenvalue problems of centro-symmetric matrices", pp.147~ (2003)
- "it The solvability conditions for inverse eigenvalue problem of symmetric and anti-persymmetric matrices and its approximation}", pp.223~ (2003)
- "it The solvability conditions for the inverse eigenvalue problem of Hermitian-generalized Hamiltonian matrices", pp.1369~ (2002)
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