NONEQUIVALENCE DEFLATION FOR THE SOLUTION OF MATRIX LATENT VALUE-PROBLEMS

The following nonlinear latent value problem is studied: F(lambda)x = 0, where F(lambda) is an n X n analytic nondefective matrix function i n the scalar lambda. The latent pair (lambda, x) has been previously f ound by applying Newton's method to a certain equation. The deflation technique is required for finding another latent pair starting from a computed latent pair. Several deflation strategies are examined, and t he nonequivalence deflation technique is developed. It is demonstrated by analysis and numerical experience, to be a reliable and efficient strategy for finding a few latent roots in a given region.