The Conditioning and Stability of Algorithms

Lecture 1

 

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THE QR DECOMPOSITION: This lecture introduces the QR decomposition and relate s it to Gram-Schmidt orthogonalization.

 

MATLAB COMMANDS

QR

Lecture 2

 

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QR & PROJECTORS: This lecture introduces a formulation of QR decomposition in terms of projectors.

 

Lecture 3

 

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QR & HOUSEHOLDER TRIANGULARIZATION: This lecture introduces a formulation of QR decomposition in terms of Householder reflectors for triangularization of a matrix.

 

MATLAB CODE

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