Homotopy method for the eigenvalues of symmetric tridiagonal matrices

• Autores: Philip Brockman, Timothy Carson, Yun Cheng, T. M. Elgindi, K. Jensen, X. Zhoun, M. B. M. Elgindi
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 237, Nº 1, 2013, págs. 644-653
• Idioma: inglés
• DOI: 10.1016/j.cam.2012.08.010
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• Resumen

  • We will present the homotopy method for finding eigenvalues of symmetric, tridiagonal matrices. This method finds eigenvalues separately, which can be a large advantage on systems with parallel processors.Wewill introduce the method and establish some bounds that justify the use of Newton�s method in constructing the homotopy curves.