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# On Computing an Eigenvector of a Tridiagonal Matrix

@inproceedings{Fernando1995OnCA, title={On Computing an Eigenvector of a Tridiagonal Matrix}, author={K. Vince Fernando}, year={1995} }

- Published 1995

We consider the solution of the homogeneous equation J I x where J is a tridiagonal matrix is a known eigenvalue and x is the unknown eigenvector corresponding to Since the system is under determined x could be obtained by setting xk and solving for the rest of the elements of x This method is not entirely new and it can be traced back to the times of Cauchy In Wilkinson demonstrated that in nite precision arithmetic the computed x is highly sensitive to the choice of k the traditional practice… CONTINUE READING

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