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Homotopy method for the eigenvalues of symmetric tridiagonal matrices |
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| Authors: | Philip Brockman Timothy Carson Yun Cheng TM Elgindi K Jensen X Zhoun MBM Elgindi |
| Institution: | 1. University of North Dakota, United States;2. Carnegie Mellon University, United States;3. University of Virginia, United States;4. Courant Institute of Mathematical Sciences, NYU, United States;5. Dickenson University, United States;6. University of Wisconsin-Eau Claire, United States;g Texas A&M University, Qatar |
| Abstract: | 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. |
| Keywords: | Eigenvalue Symmetric Tridiagonal Homotopy Newton&ndash Kantorovich Theorem |
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