Newton’s method for solving the inverse spectral problem. (Ukrainian, English) Zbl 1289.65090
Mat. Metody Fiz.-Mekh. Polya 55, No. 3, 27-34 (2012); translation in J. Math. Sci., New York 194, No. 2, 156-165 (2013).
The paper deals with a matrix inverse eigenvalue problem. For a numerical solution of this problem an algorithm based on the iterative Newton’s process is proposed. In this iterative process, a numerical procedure of calculating the exact derivatives of a matrix determinant is used for the construction of the Jacobian.
Reviewer: V. V. Vlasov (Moskva)
MSC:
| 65F18 | Numerical solutions to inverse eigenvalue problems |
