Abstract
The following nonlinear latent value problem is studied: F(λ)x = 0, where F(λ) is an n × n analytic nondefective matrix function in the scalar λ. The latent pair (λ, x) has been previously found 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 the 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.
Original language | English |
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Pages (from-to) | 15-45 |
Number of pages | 31 |
Journal | Linear Algebra and Its Applications |
Volume | 231 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1995 Dec |
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
- Numerical Analysis
- Geometry and Topology
- Discrete Mathematics and Combinatorics