For my current project I favour the QR approach because I need the covariance
matrix (for the confidence bounds on the prediction). For dense on heap
matrices the current QR code is fast enough, but for distributed matrices
it's very slow. I think that the the current implementation (with the two
for loops) is causing too much unnecessary blocking. 

Kind regards

Pieters

PS: For some ill conditioned problems (eg. polynomial regression), the
additional numerical stability of Householder compared to MGS is favourable.



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