Jacobi Iteration Method (2): Error Analysis and Convergence
Автор: JC-PhysicsMath
Загружено: 2025-12-07
Просмотров: 323
Описание:
This JC Mini-Lecture explains the convergence condition for iterative matrix-splitting methods. The video analyzes how the error vector evolves across iterations and proves that convergence occurs when the norm of the iteration matrix is less than one. It also explains why all norms are equivalent in finite-dimensional spaces and how this guarantees convergence in practice.
#NumericalAnalysis #MatrixSplitting #ConvergenceCondition #ErrorAnalysis #STEM #STEP #JCminiLecture #GraduateMath #MathematicalPhysics #IterativeMethods
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