Скачать или смотреть Jacobi's Iteration method | System of Equation | Engineering mathematics | Mathspedia |

Jacobi's Iteration method | System of Equation | Engineering mathematics | Mathspedia |
The Jacobi iteration method is an iterative numerical technique used for solving systems of linear equations. It's particularly useful for large sparse systems where direct methods like Gaussian elimination can be computationally expensive and inefficient. The method is named after the German mathematician Carl Gustav Jacob Jacobi.
The Jacobi iteration method is easy to implement and can be parallelized, making it suitable for solving large systems of linear equations in parallel computing environments. However, it may converge slowly for certain types of matrices, and there are more sophisticated iterative methods that can be used in such cases (e.g., the Gauss-Seidel method or the Successive Over-Relaxation method).
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