Application of the Modified Gram-Schmidt Algorithm - Maple Application Center
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Application of the Modified Gram-Schmidt Algorithm

: Douglas Lewit
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Maple's QRDecomposition command basically utilizes one of two routines for generating the Q and R matrices.  If the matrix contains only integers and/or symbolic expressions, then Maple performs a QR decomposition using the Classical Gram-Schmidt algorithm.  If however, the matrix contains a mixture of integers and floating point decimals or only floating point decimals, then Maple carries out the QR decomposition of the matrix using Householder transformations.  My approach below uses a third alternative, the Modified Gram-Schmidt algorithm, which I read about in Chapter 8 of the textbook, NUMERICAL LINEAR ALGEBRA, by Lloyd N. Trefethen and David Bau III.

Application Details

Publish Date: October 01, 2013
Created In: Maple 17
Language: English

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