Title

A Geometric Analysis of Gaussian Elimination. I

Document Type

Article

Publication Date

4-15-1991

Description

The algorithm known as Gaussian elimination (GE) is fully understood in an exact-arithmetic environment. But in the finite-precision environment of computers, a full understanding of GE has been somewhat elusive. Heretofore, the analysis of this popular and important algorithm has been primarily from a numerical perspective. This paper seeks to analyze GE from a geometric perspective, and by so doing, (1) confirm the classical numerical analysis and (2) demonstrate a new level of understanding through the Euclidean geometry of GE.

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