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gauss-newton method.

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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A numerical method for solving inverse eigenvalue problems
Hua Dai
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 33 / Issue 5 / September 1999

Published online by Cambridge University Press:

15 August 2002, pp. 1003-1017

Print publication:

September 1999
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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.