Generalized Inverse Eigenvalue Problem of Symmetric Periodic Jacobi Matrix Plus Arrow Matrix
In this paper,we study the generalized inverse spectrum problem for a class of symmetric periodic Jacobi matrices plus ar-row matrices.By using the geometric properties of conic curve,symmetric periodic Jacobi matrix and arrow matrix,the extreme ei-genvalues of all the principal submatrixes of the matrix are taken as their characteristic data to reconstruct this kind of arrow banded matrix.Finally,the solution of the problem is derived as well as the algorithm and examples of the problem construction,and the ac-curacy of the results is verified.
inverse eigenvalue problemsconicsequential principal submatricesextreme eigenvaluesarrow banded matrix
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