Iterative methods represent another class of techniques for solving linear algebraic equation systems, particularly effective for large sparse linear systems. These methods operate by designing specific iterative schemes that generate sequences of approximate solutions, which converge toward the exact solution when properly formulated. The implementation typically involves matrix-vector multiplications and residual calculations, requiring only O(n) storage for sparse systems. Key advantages include constant coefficient matrices throughout iterations, algorithmic simplicity, straightforward programming implementation, and reduced memory requirements compared to direct methods.
MATLAB
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