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A numerical method for solving inverse eigenvalue problems

Published online by Cambridge University Press:  15 August 2002

Hua Dai*
Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China. The research was supported in part by the National Natural Science Foundation of China and the Jiangsu Province Natural Science Foundation. This work was done while the author was visiting CERFACS, France (March-August 1998).
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Based on QR-like decomposition with column pivoting, a new and efficient numerical method for solving symmetric matrix inverse eigenvalue problems is proposed, which is suitable for both the distinct and multiple eigenvalue cases. A locally quadratic convergence analysis is given. Some numerical experiments are presented to illustrate our results.

Research Article
© EDP Sciences, SMAI, 1999

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