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A numerical method for solving inverse eigenvalue problems

Hua Dai (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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.

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