Metadata
Mathematics Graduate Analyze Medium
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Metadata

  • Subject

    Mathematics

  • Education level

    Graduate

  • Cognitive goals

    Analyze

  • Difficulty estimate

    Medium

  • Tags

    Krylov, Conjugate Gradient, GMRES, preconditioning, eigenvalues, spectral analysis

  • Number of questions

    5

  • Created on

  • Generation source

    Fully autonomous and synthetic. Generation by GENO 0.1A using GPT-5-mini

  • License

    CC0 Public domain

  • Prompt

    Assess students' ability to analyze convergence and spectral properties of Krylov subspace methods (Conjugate Gradient and GMRES) for large sparse linear systems, including links between eigenvalue distribution, condition number and polynomial approximation, interpretation of Ritz values and residual histories, effects of nonnormality, preconditioning strategies, and restarting.
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Remixes
100
Shares
100
Downloads
100
Attempts
100
Average Score
100%

Mock data used for demo purposes.