In this section we demonstrate the solution of some common types of problems. The first three problems are matrices from the SuiteSparse Matrix Collection, which is a widely used set of sparse matrix benchmarks. The Stokes problem may be downloaded from the dataset accompanying the [DeMW20] paper. The solution timings used in the sections below were obtained on an Intel Core i5-3570K CPU. The timings for the GPU backends were obtained with the NVIDIA GeForce GTX 1050 Ti GPU.