The Gaussian Elimination application solves systems of equations using the
gaussian elimination method.
The application analyzes an n x n matrix and an associated 1 x n vector to solve a
set of equations with n variables and n unknowns. The matrix and vector describe equations
of the form:
a0x + b0y + c0z + d0w = e0
a1x + b1y + c1z + d1w = e1
a2x + b2y + c2z + d2w = e2
a3x + b3y + c3z + d3w = e3
where in this case n=4. The matrix for the above equations would be as follows:
[a0 b0 c0 d0]
[a1 b1 c1 d1]
[a2 b2 c2 d2]
[a3 b3 c3 d3]
and the vector would be:
[e0]
[e1]
[e2]
[e3]
The application creates a solution vector:
[x]
[y]
[z]
[w]
The Makefile may need to be adjusted for different machines, but it was written for Mac OS X and
Linux with either NVIDIA or AMD OpenCL SDKs.
Additional input files can be created with the matrixGenerator.py file in the data folder.
Gaussian Elimination Usage
gaussianElimination [filename] [-hqt] [-p [int] -d [int]]
example:
$ ./gaussianElimination matrix4.txt
filename the filename that holds the matrix data
-h, --help Display the help file
-q Quiet mode. Suppress all text output.
-t Print timing information.
-p [int] Choose the platform (must choose both platform and device)
-d [int] Choose the device (must choose both platform and device)
Notes: 1. The filename is required as the first parameter.
2. If you declare either the device or the platform,
you must declare both.
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