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Computación Numérica / Numerical Computing
  • Inicio
  • Inicio
  • Labs
  • Prácticas
  • Tema 1. Aritmética finita y análisis de error
  • Tema 2. Raíces de ecuaciones no lineales
  • Tema 3. Aproximación de funciones
  • Tema 4. Derivación e integración numérica
  • Tema 5. Sistemas de ecuaciones lineales
  • Tema 6. Optimización
  • Unit 1. Finite arithmetic and error analysis
  • Unit 2. Zeros of nonlinear equations
  • Unit 3. Function approximation
  • Unit 4. Numerical differentiation and integration
  • Unit 5. Systems of linear equations
  • Unit 6. Optimization
  • Unit 5. Systems of linear equations

    1. Gauss method

    Exercise 5.1.1: without pivoting
    Exercise 5.1.2: with partial pivoting


    2. Gauss-Jordan method

    Exercise 5.2.1: calculating the inverse matrix


    3.  LU decomposition

    Exercise 5.3.1: without pivoting
    Exercise 5.3.2: with partial pivoting


    4. Determinant of a matrix

    Exercise 5.4.1


    5. Jacobi method

    Exercise 5.5.1: convergence
    Exercise 5.5.2: iterations


    6. Gauss-Seidel method

    Exercise 5.6.1: convergence
    Exercise 5.6.2: iterations


    7. Matrix conditioning

    Exercise 5.7.1