Componentwise condition numbers of random sparse matrices

Details Componentwise condition numbers of random sparse matrices Componentwise condition numbers of random sparse matrices

2008-07-07

arxiv.org/abs/0807.0956v2

Mathematics

Numerical Analysis

Scientific paper

We prove an O(log n) bound for the expected value of the logarithm of the
componentwise (and, a fortiori, the mixed) condition number of a random sparse
n x n matrix. As a consequence, small bounds on the average loss of accuracy
for triangular linear systems follow.

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