Factor Arbitrary Matrix Using QR Factorization Block

The Output size parameter of the QR factorization block has two settings: Economy and Full. When the M-by-N input matrix A has dimensions such that M > N, the dimensions of output matrices Q and R differ depending on the setting of the Output size parameter. However, if the size of the input matrix A is such that M is less than or equal to N, output matrices Q and R have the same dimensions, regardless of whether the Output size is set to Economy or Full.

The input to the QR Factorization block in the following model is a 5-by-2 matrix A. When you change the setting of the Output size parameter from Economy to Full, the dimensions of the output given by the QR Factorization block also change.

Open the ex_qrfactorization_ref model.

Double-click the QR Factorization block, set the Output size parameter to Economy, and run the model.

The QR Factorization block outputs a 5-by-2 matrix Q and a 2-by-2 matrix R.

Change the Output size parameter of the QR Factorization block to Full and rerun the model. The QR Factorization block outputs a 5-by-5 matrix Q and a 5-by-2 matrix R.