A Ulm-like method for inverse eigenvalue problems

• Autores: W.P. Shen, C. Li, Xiao-Qing Jin
• Localización: Applied numerical mathematics, ISSN-e 0168-9274, Vol. 61, Nº. 3, 2011, págs. 356-367
• Idioma: inglés
• DOI: 10.1016/j.apnum.2010.11.001
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• Resumen

  • We propose a Ulm-like method for solving inverse eigenvalue problems, which avoids solving approximate Jacobian equations comparing with other known methods. A convergence analysis of this method is provided and the R-quadratic convergence property is proved under the assumption of the distinction of given eigenvalues. Numerical experiments as well as the comparison with the inexact Newton-like method are given in the last section