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?
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?
can you show the same using matlab or octave?
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.