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Structured Backward Errors for the Tridiagonal Eigenproblem: Scientific Computing and Matrix Computations SeminarSeminar: Scientific Computing  April 10  12:101 p.m.  380 Soda Hall Beresford N. Parlett, UC Berkeley Electrical Engineering and Computer Sciences (EECS) We seek a bound on the relative perturbations to the parameters defining a tridiagonal matrix so that an approximate eigentriple (\lambda, x, y*) becomes exact. We have found how to compute these perturbations rapidly, in O(n) operations for an n by n matrix. Now it is reasonable to compute this bound along with the triple itself and a relative condition number as standard procedure. odedsc@cs.berkeley.edu, 5105164321 

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