Repository files navigation Numerical Analysis (數值分析)
期中考:2018/4/24
期末考:2018/6/26
期中考:30%
期末考:30%
程式與書面報告:25%
作業:10%
平時:5%
Numerical Analysis 2017 Fall
Mathematical preliminaries and error analysis (slide)
Round-off errors and computer arithmetic
IEEE standard floating-point format (video)
Absolute and relative errors (video)
Machine epsilon
Loss of significance (video)
Algorithms and convergence (video)
Algorithm
Stability
Rate of convergence
Solutions of Equations in One Variable (slide)
Bisection Method (video)
Fixed-point iteration (video)
Newton’s method (video)
Error analysis for iterative methods (video1), (video2)
Accelerating convergence
Zeros of polynomials and Muller’s method (video)
Direct Methods for Solving Linear Systems (slide)
Linear systems for equations (video1), (video2)
Pivoting Strategies (video)
Matrix factorization (video1), (video2)
Special types of matrices (video1), (video2)
Iterative techniques in matrix algebra (slide)
Norms of vectors and matrices (video)
Eigenvalues and eigenvectors
Jacobi and Gauss-Siedel Iterative Techniques (video1), (video2)
Relaxation Techniques for Solving Linear Systems (video)
Error bounds and iterative refinement
Conjugate gradient method (video1), (video2), (video3)
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