Thread: QR Decomposition

I have a matrix consisting of two square matrices A & B



and I want to perform QR decomposition on C, to obtain it's upper triangular factorization.

My question is, is it possible to perform QR decomposition on matrices A & B seperately, and somehow still obtain the upper triangular factorization of C?

Originally Posted by Superfish

I have a matrix consisting of two square matrices A & B



and I want to perform QR decomposition on C, to obtain it's upper triangular factorization.

My question is, is it possible to perform QR decomposition on matrices A & B seperately, and somehow still obtain the upper triangular factorization of C?

I may not understand what you mean but R is always upper triangular.

Originally Posted by dwsmith

I may not understand what you mean but R is always upper triangular.

Sorry, i think you misunderstood.

I want to get the R matrix of C by performing QR decomposition on the square A and B matrices seperately.

So C is related to A and B via a binomial?

Originally Posted by dwsmith

So C is related to A and B via a binomial?

No, C is just matrix A stacked on top of matrix B. Wasn't sure what the latex command is for square brackets.