### 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 | |

State | Published - 1 Jan 1995 |

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## 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