For positive definite matrices only.
TODO application.
www.studentclustercompetition.us/ comments:
The HPCG benchmark uses a preconditioned conjugate gradient (PCG) algorithm to measure the performance of HPC platforms with respect to frequently observed but challenging patterns of computing, communication, and memory access. While HPL provides an optimistic performance target for applications, HPCG can be considered as a lower bound on performance. Many of the top 500 supercomputers also provide their HPCG performance as a reference.
Articles by others on the same topic
The Conjugate Gradient (CG) method is an iterative algorithm primarily used for solving systems of linear equations whose coefficient matrix is symmetric and positive-definite. It is particularly effective for large-scale problems, where direct methods (like Gaussian elimination) can be computationally expensive or infeasible due to memory requirements. ### Key Features of the Conjugate Gradient Method: 1. **Iteration**: The CG method generates a sequence of approximations to the solution.