Abstract
We provide more technical details about the HLIBCov package, which is using parallel hierarchical (H-) matrices to:
Approximate large dense inhomogeneous covariance matrices with a log-linear computational cost and storage requirement.
Compute matrix-vector product, Cholesky factorization and inverse with a log-linear complexity.
Identify unknown parameters of the covariance function (variance, smoothness, and covariance length).
These unknown parameters are estimated by maximizing the joint Gaussian log-likelihood function. To demonstrate the numerical performance, we identify three unknown parameters in an example with 2,000,000 locations on a PC-desktop. (C) 2019 The Author(s). Published by Elsevier B.V.