A Genetic Algorithm for Solving General System of Equations

نویسندگان

  • Győző Molnárka
  • Edit Miletics
چکیده

For solving linear system of equations is known several algorithms. Iteration algorithms are recommended for the large linear systems with sparse matrix. But in the case of general n x m matrices the classic iterative algorithms are not applicable with a few exceptions. For example in some cases the Lanczos type algorithms are adequate. The algorithm presented here based on the minimization of residuum of solution and it has some genetic character. Therefore this algorithm seems to be applicable for construction of parallel algorithm. Here we describe a sequential version of proposed algorithm and give its theoretical analysis. Moreover we show some numerical test results of the sequential algorithm.

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تاریخ انتشار 2005