the university of tennessee | machine intelligence lab |
Ken Habgood, Ph.D. | ||
Research | Hardware Acceleration Platforms for Power Systems Analysis | |
High Performance Computing | ||
Solving linear systems with a large number of variables is at the core of many scientific problems. Parallel processing techniques for solving such systems have received much attention in recent years. My work focused on a novel approach for solving large-scale linear systems which involves Cramer's rule and matrix condensation techniques. |
Selected Publications | |
[1] | K. Habgood, I. Arel, "A Condensation-based Application of Cramer's Rule for solving Large-Scale Linear Systems," Journal of Discrete Algorithms, Vol 10, pp. 98-109. (Also referenced on Wikipedia under the "Determinant" and "Cramer's Rule" entries) , January, 2012 [pdf] |
[2] | K. Habgood, I. Arel, "Revisiting Cramer's Rule for Solving Dense Linear Systems," in Proc. ACM High Performance Computing Symposium (HPC 2010), April, 2010 |