Dr. James McCaffrey of Microsoft Research guides you through a full-code, step-by-step tutorial on "one of the most important operations in machine learning." Computing the inverse of a matrix is one ...

This QR decomposition succeeds for n <= 18 but fails for n = 19 due to an internal error in the qqbar arithmetic. n = 19 A = matrix(QQbar, [[1/(i+j+1) for i in range ...

Abstract: This study presents a joint QR decomposition and lattice reduction processor for 8×8 multiple-input multiple-output (MIMO) systems. The proposed algorithm enhances the BER performance by ...

Abstract: For a frequency flat multi-input multi-output (MIMO) system the QR decomposition can be applied to reduce the MIMO channel equalization problem to a set of decision feedback based single ...

Let $Q \in \mathbb{R}^{n \times n}$. The matrix $Q$ is called orthogonal if $Q^\top Q = I$, where $I$ is the identity matrix. This definition implies that all rows ...