Module col_pivoting

The QR decomposition decomposes a matrix $A$ into the product $$AP^T = QR,$$ where $P$ is a permutation matrix, $Q$ is a unitary matrix (represented as a block Householder sequence), and $R$ is an upper trapezoidal matrix.

Modules

• compute
  Computing the decomposition.
• inverse
  Reconstructing the inverse of the original matrix from the decomposition.
• reconstruct
  Reconstructing the original matrix from the decomposition.
• solve
  Solving a linear system using the decomposition.