| Abstract [eng] |
The title of this work is “Parallel algorithms for linear algebra problems”. The main goal of Master thesis is to research solving possibilities of linear algebra problems, using different kind of computing machines and dedicated linear algebra libraries. In the beginning of the work author introduces the comparison of the system for parallel computing such as symmetric multi-processing and massively parallel processing. Later in this chapter the main linear algebra problems and theirs solutions were introduced. In the beginning of the second part, different kinds of algorithms for solving linear equation systems, such as LU factorization and SVD – singular value decomposition, were researched. In the next part of this chapter author looked for possibility to make computations of linear equation system in a parallel way. In the practical part of the work, the author developed few programs, which were used for analysis of different kind of algorithms and used BalticGrid technologies for parallel solving of linear equation systems. In the closing part of the work author presents the main results of the work and suggests some recommendations. |
