Metadata
Mathematics Undergraduate Analyze Medium
Metadata
  • Subject

    Mathematics

  • Education level

    Undergraduate

  • Cognitive goals

    Analyze

  • Difficulty estimate

    Medium

  • Tags

    iterative methods, convergence, spectral radius, SOR, Gauss-Seidel, Jacobi

  • Number of questions

    5

  • Created on

  • Generation source

  • License

    CC0 Public domain

  • Prompt

    Assess students' ability to analyze convergence of Jacobi, Gauss–Seidel, and SOR methods for solving Ax=b. Tasks include deriving iteration matrices, computing spectral radii and relevant norms, verifying sufficient conditions (strict diagonal dominance, SPD), deciding convergence/divergence for given matrices, and selecting/justifying an optimal relaxation parameter ω with rate-of-convergence estimates for concrete examples and proofs.
Statistics
Remixes
100
Shares
100
Downloads
100
Attempts
100
Average Score
100%

Mock data used for demo purposes.