/Methods-of-Computation-2

Repository with methods of computation homework

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Methods-of-Computation-2

Repository with methods of computation homework.

Practice

  1. Conditional numbers.
  2. LUP decompositions and regularization.
  3. QR decomposition (Householder reflections with pivoting and Givens rotations).
  4. Solving a system of linear equations (Iterative method, Gauss–Seidel method).
  5. Finding eigenvalues and eigenvectors: power iteration.
  6. Finding eigenvalues: Jacobi algorithm.
  7. Solving differential equations: finite-difference method.
  8. Solving differential equations: Galerkin method.
  9. —
  10. One-dimensional heat equation.

Lecture

  1. Oscillating matrix.
  2. Integral equations of the first kind.
  3. Inverse Laplace transform.