Gauss seidel method || Iterative method
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- Опубликовано: 10 фев 2025
- Welcome to our RUclips channel, where we delve into the fascinating world of numerical methods. In this video, we unlock the power of the Gauss-Seidel method, a fundamental iterative technique used in solving linear systems of equations.
We begin by introducing the Gauss-Seidel method's underlying principles, highlighting how it differs from other iterative methods such as Jacobi. You'll discover how this method exploits the concept of successive approximations, refining solutions iteratively until convergence is achieved.
With a clear grasp of the theory, we then transition to practical examples and real-world applications. Witness the power of Gauss-Seidel as we demonstrate its effectiveness in solving systems of linear equations, especially when dealing with large matrices. Through step-by-step explanations and visual aids, you'll gain confidence in implementing the Gauss-Seidel method to tackle complex problems efficiently
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Gauss-Seidel Method
Iterative Method
Linear Systems
Convergence
Successive Approximations
Numerical Analysis
Matrix Equation
Computational