Multi-threaded gauss elimination method

Table of Contents

• Usage examples
• Technologies
• Range of functionalities
• Startup

Usage examples

args: 4 false input.txt output.txt

input. txt

4
2 1 -1 2
4 5 -3 6
-2 5 -2 6
4 11 -1 8
5 9 4 2

output.txt

4
1.0 0.0 0.0 0.0 
0.0 1.0 0.0 0.0 
0.0 0.0 1.0 0.0 
0.0 0.0 0.0 1.0 
0.857142857142857 -2.142857142857143 0.14285714285714235 2.7857142857142856

compare the results

[expected]:      0.8571428571428568 -2.142857142857143 0.1428571428571416 2.785714285714285
[calculated]:    0.857142857142857 -2.142857142857143 0.14285714285714235 2.7857142857142856

The generated diekert graph can be pasted here Graphiz to see Foata Noraml Form of threads (each color is different independent set of threads).

Technologies

• ejml 0.41
• jama 1.0.3

Range of functionalities

• generating a diekert graph in a dot format
• generating nxn matrices
• checking the result matrix

Startup

Run the program with the following arguments (default calculation accuracy = 10^-10):

• n - rozmiar macierzy do wygenerowania
• generate input matrix - false if you wat solve your matrix
• input - nazwa wygenerowanego pliku z danymi wejściowymi
• output - nazwa pliku z rozwiązaniem

java -jar main.jar [n] [generate matrix] [input.txt] [output.txt]

Sources

• checker
• Graphiz