Lecture 1

 

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CONDITIONING: This lecture introduces the concept of the conditioning of a problem, specifically how to define well-conditioned and ill-conditioned problems

 

Lecture 2

 

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STABILITY OF ALGORITHMS: This lecture discusses the concept of the conditioning of an algorithm, specifically the stability of an algorithm for computing desired quantities.

 

Lecture 3

 

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CONDITIONING OF LEAST-SQUARES: We investigate the conditioning of solving the least-squares problem Ax=b for an over-determined system of equations.