| Volume 8, Number 1, 2018, Pages 81-104 DOI：10.11948/2018.81 |
| Construction of full H-matrices with the given eigenvalues based on the Givens matrices |
| Jicheng Li,Guiling Zhang,Nana Wang,Guo Li,Chengyi Zhang |
| Keywords:Full matrix, H-matrix, strictly diagonally dominant matrix, $\alpha$-strictly diagonally dominant matrix, $\alpha$-double strictly diagonally dominant matrix, givens matrix. |
| Abstract: |
| The inverse eigenvalue problem is about how to construct a desired matrix whose spectrum is the given number set. In this paper, in view of the Givens matrices, we prove that there exist three classes of full H-matrices which include strictly diagonally dominant full matrix, $\alpha$-strictly diagonally dominant full matrix and $\alpha$-double strictly diagonally dominant full matrix, and their spectrum are all the given number set. In addition, we design some numerical algorithms to explain how to construct the above-mentioned full H-matrices. |
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