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Abstract

The solutions of large eigensystems having cluster, multiple, or defective eigenvalues by inverse iteration using one trial vector at a time are of interest. The Rayleigh quotient is used as shift. New formulas for each particular case are derived for definite convergence. Six numerical examples, including three-multiple defective eigenvalues, are given.

Keywords

Inverse iteration defective eigensystems computational method

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References

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Inverse Iteration for Large Defective Eigensystems

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