Incoming links: Positive definite matrix
For positive definite matrices only.
TODO application.
TODO speedup over algorithm for general matrices.
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.
Matrix representation of a positive definite symmetric bilinear form Updated 2024-12-15 +Created 1970-01-01
A positive definite matrix that is also a symmetric matrix.
The dot product is a positive definite matrix, and so we see that those will have an important link to familiar geometry.