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- 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
-
- -f [filename] The filename that holds the matrix data
- -s [int] Generate matrix and rhs in specified size
- -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.
- ******Adjustable work group size*****
- The kernel 2 has square shape
- The actually dimension = RD_WG_SIZE_1_0 * RD_WG_SIZE_1_1
- USAGE:
- make clean
- make KERNEL_DIM="-DRD_WG_SIZE_0=16 -DRD_WG_SIZE_1_0=16 -DRD_WG_SIZE_1_1=16"
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