Technical Reports

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UBC CS TR-77-20 Summary

On the Separation of Two Matrices, December 1977 Jim M. Varah

The sensitivity of the solution $X$ to the matrix equation C$ is primarily dependent on the quantity sep$(A,B)$ introduced by Stewart in connection with the resolution of invariant subspaces. In this paper, we discuss some properties of sep$(A,B)$, give some examples to show how very small it can be for seemingly harmless X^{(k)}B + C$ for solving the matrix equation.

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