Final Exam Topic List

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Floating-point arithmetic Associativity Cancellation Machine precision Error analysis Relative error Truncation error vs rounding error Random numbers and Monte Carlo simulation Random number generators Monte Carlo Taylor series approximation Norms and conditioning Norms Condition number Solving linear systems Existence/uniqueness of solutions Conditioning , accuracy Residual Matrix inversion Triangular systems Gaussian elimination Pivoting Cost Eigenvalues Markov matrices Similarity Power method Inverse power method SVD Orthogonality Sparse matrices Storage formats CSR and COO Least squares
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