Nonequivalence deflation for the solution of matrix latent value problems
Newton's method is usually used to solve nonlinear latent value problems. The deflation technique is required for finding another latent pair starting from a computed latent pair. In this paper, several deflation strategies are examined, and a nonequivalence deflation technique is developed. The major idea is transforming the computed latent root in the given region into infinity through a suitable nonequivalent transformation, while the other latent roots are preserved. Analysis and numerical examples show that the deflation combined with a suitable restarting initial guess is reliable and effective.
scientific article; zbMATH DE number 841725
scientific article