Homotopy-determinant Algorithm for Solving Nonsymmetric Eigenvalue Problems

Abstract

The eigenvalues of a matrix A are the zeros of its characteristic polynomial fiX) = dtt[A XI]. With Hyman's method of determinant evaluation, a new homotopy continuation method, homotopy-determinant method, is developed in this paper for finding all eigenvalues of a real upper Hessenberg matrix. In contrast to other homotopy continuation methods, the… (More)

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Cite this paper

@inproceedings{Li2010HomotopydeterminantAF, title={Homotopy-determinant Algorithm for Solving Nonsymmetric Eigenvalue Problems}, author={T. Y. Li and Zhonggang Zeng}, year={2010} }