Numerical solution of a class of deficient polynomial systems, SZAM I
- T. Y. Li, T. Sauer, J. A. Yorke
- Numer. Anal
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.