You cannot select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
29 lines
1.7 KiB
Markdown
29 lines
1.7 KiB
Markdown
# ShfitedPowGMRES
|
|
|
|
> Report of the project: [view](https://github.com/lukefleed/ShfitedPowGMRES/blob/main/tex/main.pdf) / [download](https://github.com/lukefleed/ShfitedPowGMRES/raw/main/tex/main.pdf)
|
|
|
|
This repository contains the code of my attempt to replicate the results obtained in `[1]`. The scripts are all written in python and are heavily build around the libraries SciPy and NumPy. To install all the required packages with `pip` run the following command in terminal
|
|
|
|
```bash
|
|
pip install -r requirements.txt
|
|
```
|
|
|
|
At the moment, the standard and shifted power method to compute the PageRank with multiple damping factors are fully implemented (as described in `[1]`). To run the program we need to execute the `main.py` file. It takes as input two arguments:
|
|
|
|
- `--dataset`: the options are `BerkStan` and `Stanford`. This commands selects the web-graph to run the algorithms on.
|
|
- `--algo`: the options are `power`, `shifted`, `both`. If you choose the last option, it will first run the standard power method and then the shifted one.
|
|
|
|
Here an example of what's described above.
|
|
|
|
```bash
|
|
./main.py --dataset Stanford --algo both
|
|
```
|
|
|
|
## Under development
|
|
|
|
In the `testing/` folder there are two python notebook that contains the attempt on replicating the results obtained in `[1]` for the shifted GMRES method. The implementation of the Arnoldi process is fully working. On the other hand, there are several problems on the shifted GMRES algorithm that I can't figure out.
|
|
|
|
|
|
## References
|
|
|
|
`[1]` _Zhao-Li Shen, Meng Su, Bruno Carpentieri, and Chun Wen. Shifted power-gmres method accelerated by extrapolation for solving pagerank with multiple damping factors. Applied Mathematics and Computation, 420:126799, 2022_ |