A Note on the Homotopy Method for Linear Algebraic Eigenvalue Problems

Abstract

Recently the homotopy method has been applied to solve linear algebraic eigenvalue problems. On the basis of theoretical advantages and practical experiments, the method has been suggested as a serious alternative to EISPACK for finding all isolated eigenpairs of large, sparse linear algebraic eigenvalue problems on SIMD machines. This note offers a simpler proof than Li and Sauer’s of the existence of homotopy curves for eigenvalue problems of general matrices.

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Cite this paper

@inproceedings{Chu1988ANO, title={A Note on the Homotopy Method for Linear Algebraic Eigenvalue Problems}, author={Moody T. Chu and P. Barker}, year={1988} }