QR Decomposition by Householder Transformations - Linear Algebra

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Nick Space Cowboy

Nick Space Cowboy

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@rav2n
@rav2n 2 ай бұрын
so we would represent the col vectors of a matrix A into a product of R matrix times Q, where the vectors in Q are orthogonal. But I don't understand why the Hausholder matrices are upper triangle. As in, we first take a random col vector from input A and mirror in onto it's the standard unit (say i). After that what happens to the process?
@animenmusic16
@animenmusic16 2 ай бұрын
can you show the same using matlab or octave?
@nspace-cowboy
@nspace-cowboy 2 ай бұрын
For the moment I don't have plans to, but if enough people would find a benefit in me doing that, I'll consider making a second video for that.
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