Nonequivalence deflation for the solution of matrix latent value problems

Jong Shenq Guo; Wen Wei Lin; Chern Shuh Wang

doi:10.1016/0024-3795(95)90004-7

Nonequivalence deflation for the solution of matrix latent value problems

Jong Shenq Guo, Wen Wei Lin, Chern Shuh Wang

Department of Mathematics

Research output: Contribution to journal › Article

16 Citations (Scopus)

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
Pages (from-to)	15-45
Number of pages	31
Journal	Linear Algebra and Its Applications
Volume	231
Issue number	1
DOIs	https://doi.org/10.1016/0024-3795(95)90004-7
Publication status	Published - 1995 Dec

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All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

Cite this

Guo, J. S., Lin, W. W., & Wang, C. S. (1995). Nonequivalence deflation for the solution of matrix latent value problems. Linear Algebra and Its Applications, 231(1), 15-45. https://doi.org/10.1016/0024-3795(95)90004-7

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Access to Document

10.1016/0024-3795(95)90004-7