TY - JOUR

T1 - Nonequivalence deflation for the solution of matrix latent value problems

AU - Guo, Jong Shenq

AU - Lin, Wen-Wei

AU - Wang, Chern Shuh

PY - 1995/1/1

Y1 - 1995/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=21844517081&partnerID=8YFLogxK

U2 - 10.1016/0024-3795(95)90004-7

DO - 10.1016/0024-3795(95)90004-7

M3 - Article

AN - SCOPUS:21844517081

VL - 231

SP - 15

EP - 45

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

SN - 0024-3795

IS - 1

ER -