Simultaneous backward stability of Gauss and Gauss–Jordan elimination
Copyright policy )Simultaneous backward stability of Gauss and Gauss–Jordan elimination
AbstractIt is well known that some pivoting strategies are backward stable for Gauss elimination but are not backward stable for Gauss–Jordan elimination (GJE) when these procedures are used to solve a linear system Ax=b. We analyse the simultaneous backward stability for Gauss and GJE of several pivoting strategies, including a pivoting strategy which we call double partial pivoting. Copyright © 2002 John Wiley & Sons, Ltd.
- University of Zaragoza Spain
backward stability, Roundoff error, Gauss elimination, pivoting strategy, Direct numerical methods for linear systems and matrix inversion, Gauss-Jordan elimination
backward stability, Roundoff error, Gauss elimination, pivoting strategy, Direct numerical methods for linear systems and matrix inversion, Gauss-Jordan elimination
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