### The Numerical Solution of Large Scale Eigenvalue Problems

**G. W. (Pete) Stewart**

University of Maryland

The problem of determining a few eigenpairs of a very large (generally sparse)
matrix has occupied the attention of numerical analysts, scientists, and engineers,
since at least the nineteen sixties. Great progress has been made, and we are
now at a point where we can solve problems that would have been unthinkable
thirty years ago. Nonetheless, there are still promising ideas and unsolved
problems. This talk will survey the field and try to point out opportunities
for further advancement.

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