Practice Successive Over-relaxation (sor) (25.14.3) - Solutions of Linear Systems: Existence, Uniqueness, General Form
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Successive Over-Relaxation (SOR)

Practice - Successive Over-Relaxation (SOR)

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Practice Questions

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Question 1 Easy

Define Successive Over-Relaxation (SOR).

💡 Hint: Think about its relationship to the Gauss-Seidel method.

Question 2 Easy

What is the relaxation parameter ω used for?

💡 Hint: Consider how it affects convergence.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does SOR stand for?

Simple Over-Relaxation
Successive Over-Relaxation
Simplicity in Over-Relaxation

💡 Hint: Think about what this method improves upon.

Question 2

True or False: The relaxation parameter ω can exceed 1.

True
False

💡 Hint: Remember what effect different ω values have.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a system of linear equations, derive a SOR iteration formula taking ω = 1.5.

💡 Hint: Work through the Gauss-Seidel method steps first to build your SOR formulation.

Challenge 2 Hard

Formulate a strategy for determining the best relaxation parameter for a specific system of non-linear equations.

💡 Hint: Use graphical representation to visualize convergence speed with varying ω values.

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