The Inexact Rayleigh Quotient Iteration for the Large Hermitian Matrix Eigenproblem

Qing Guo Qu

doi:10.4028/www.scientific.net/AMR.403-408.5230

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 403-408The Inexact Rayleigh Quotient Iteration for the...

The Inexact Rayleigh Quotient Iteration for the Large Hermitian Matrix Eigenproblem

Abstract:

The inexact Rayleigh quotient iteration (RQI) is used for computing the smallest eigenpair of a large Hermitian matrix. It’s shown in this paper that under the uniform positiveness condition a new convergence theorem of the inexact RQI is presented and proved by the nature of eigenvalues. All the results are verified and analyzed by numerical experiments.

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Periodical:

Advanced Materials Research (Volumes 403-408)

Pages:

5230-5234

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.403-408.5230

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Online since:

November 2011

Authors:

Qing Guo Qu

Keywords:

Convergence, Eigenvalue, Large Hermitian Matrix, RQI

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References

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