Abstract
In this paper, we consider the problem of developing efficient and optimal parallel algorithms for Cholesky decomposition. We design our algorithms based on different data layouts and methods. We thereotically analyze the run-time of each algorithm. In order to determine the optimality of the algorithms designed, we derive theoretical lower bounds on running time based on initial data layout and compare them against the algorithmic run-times. To address portability, we design our algorithms and perform complexity analysis on the LogP model. Lastly, we implement our algorithms and analyze performance data.
Original language | English (US) |
---|---|
Pages (from-to) | 217-234 |
Number of pages | 18 |
Journal | Journal of Mathematical Modelling and Algorithms |
Volume | 2 |
Issue number | 3 |
DOIs | |
State | Published - 2003 |
Keywords
- Algorithms and complexity
- Cholesky decomposition
- LogP model
- Numerical linear algebra
- Parallel complexity
ASJC Scopus subject areas
- Modeling and Simulation
- Applied Mathematics