logo

Fundamentals of Numerical Computation

  • Home
  • Introduction
  • Square linear systems
  • Overdetermined linear systems
  • Roots of nonlinear equations
  • Piecewise interpolation
  • Initial-value problems for ODEs
  • Review: Linear algebra
  • All demo notebooks
    • Chapter 1 (Introduction)
    • Chapter 2 (Linear systems)
      • Interpolating the population of China
      • Vectors and matrices in Julia
      • Backslash for solving linear systems
      • Solving triangular systems
      • Gaussian elimination
      • Row operations
      • Using LU factorization
      • Timing and flop counts
      • Timing matrix-vector multiplication
      • Timing of LU factorization
      • Failure of plain LU factorization
      • Row pivoting
      • Vector norms
      • Matrix norms
      • Condition number bounds on error
      • Banded matrices
      • Timing for banded matrices
      • Symmetric LU
      • Cholesky factorization
    • Chapter 3 (Least squares)
    • Chapter 4 (Rootfinding)
    • Chapter 5 (Piecewise)
    • Chapter 6 (IVPs)
  • References
  • Index
Powered by Jupyter Book

Chapter 2 (Linear systems)ΒΆ

  • Interpolating the population of China

  • Vectors and matrices in Julia

  • Backslash for solving linear systems

  • Solving triangular systems

  • Gaussian elimination

  • Row operations

  • Using LU factorization

  • Timing and flop counts

  • Timing matrix-vector multiplication

  • Timing of LU factorization

  • Failure of plain LU factorization

  • Row pivoting

  • Vector norms

  • Matrix norms

  • Condition number bounds on error

  • Banded matrices

  • Timing for banded matrices

  • Symmetric LU

  • Cholesky factorization

Polynomial roots Interpolating the population of China

By Tobin A. Driscoll and Richard J. Braun
© Copyright 2020.