Homotopy method for the eigenvalues of symmetric tridiagonal matrices

Philip Brockman, Timothy Carson, Yun Cheng, T. M. Elgindi, K. Jensen, X. Zhoun, M. B.M. Elgindi

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


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. We will introduce the method and establish some bounds that justify the use of Newton's method in constructing the homotopy curves.

Original languageEnglish (US)
Pages (from-to)644-653
Number of pages10
JournalJournal of Computational and Applied Mathematics
Issue number1
StatePublished - Jan 1 2013

All Science Journal Classification (ASJC) codes

  • Computational Mathematics
  • Applied Mathematics


  • Eigenvalue
  • Homotopy
  • Newton-Kantorovich Theorem
  • Symmetric
  • Tridiagonal


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