Inverse eigenvalue problems for centrosymmetric matrices under a central principal submatrix constraint
- School of Mathematics and Information Engineering, Taizhou University, Linhai, Zhejiang, 317000, P. R. China
- Department of Mathematics and Computer Science, Emory University, Atlanta, Georgia 30322, USA
This article considers an inverse eigenvalue problem for
centrosymmetric matrices under a central principal submatrix
constraint and the corresponding optimal approximation problem. We
first discuss the specified structure of centrosymmetric matrices
and their central principal submatrices. Then we give some necessary
and sufficient conditions for the solvability of the inverse
eigenvalue problem, and we derive an expression for its general
solution. Finally, we obtain an expression for the solution
to the corresponding optimal approximation problem.
Share and Cite
Li-Jun Zhao, Ru Huang, Inverse eigenvalue problems for centrosymmetric matrices under a central principal submatrix constraint, Journal of Mathematics and Computer Science, 17 (2017), no. 4, 477-487
Zhao Li-Jun, Huang Ru, Inverse eigenvalue problems for centrosymmetric matrices under a central principal submatrix constraint. J Math Comput SCI-JM. (2017); 17(4):477-487
Zhao, Li-Jun, Huang, Ru. "Inverse eigenvalue problems for centrosymmetric matrices under a central principal submatrix constraint." Journal of Mathematics and Computer Science, 17, no. 4 (2017): 477-487
- Centrosymmetric matrix
- central principal submatrix
- inverse eigenvalue problem
- optimal approximation problem
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