1. Gaussian elimination and LU decomposition fails when OA left digonal element is zero OA left digonal element is one O Never fails 2. Pivoting is used when pivot element in A is zero to eliminate rounding error Both

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 3CEXP
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1. Gaussian elimination and LU decomposition fails when
OA left digonal element is zero
OA left digonal element is one
O Never fails
2. Pivoting is used when
O pivot element in A is zero
to eliminate rounding error
Both
Transcribed Image Text:1. Gaussian elimination and LU decomposition fails when OA left digonal element is zero OA left digonal element is one O Never fails 2. Pivoting is used when O pivot element in A is zero to eliminate rounding error Both
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