Gauss Seidel Method - Problem #1 Iterative Method | Numerical Method | Linear Algebra
Автор: Mathematics Tutor
Загружено: 2023-10-04
Просмотров: 72579
Описание:
🎓 Gauss–Seidel Iterative Method | Solve the System of Linear Equations | Engineering Mathematics
In this video, we solve the system of linear equations using the Gauss–Seidel Method, an important iterative technique for finding approximate solutions of linear systems—especially when direct methods become lengthy.
🧮 Problem Solved:
Solve the system using Gauss–Seidel Method:
10x + y + z = 12
x + 10y + z = 12
x + y + 10z = 12
This method is widely used in:
✔ VTU B.E. Engineering Mathematics
✔ Numerical Methods (NM)
✔ Diploma & BSc courses
✔ Iterative solution techniques in computing
📌 What you will learn:
► How to rewrite the equations for iteration
► Initial approximations and successive iterations
► Convergence verification
► Final numerical solution
#GaussSeidelMethod #IterativeMethods #NumericalMethods #VTUMathematics #EngineeringMathematics #LinearEquations #MatrixMethods
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