Numerical Linear Algebra

From Wikiversity

[edit] Direct Methods for Solving Linear Systems

• Systems of Linear Equations
• Gaussian Elimination
• Pivoting
• Linear Algebra
• Invertible Matrix
• Determinant
  • Exercises
• LU Decomposition
  • Exercises
  • Quiz
• Positive-definite matrix
• Cholesky Decomposition
• Tridiagonal Matrix

[edit] Iterative Techniques

• Normed vector space
• Eigenvalue
• Eigenvectors and Eigenspace
• Characteristic Polynomial
• Jacobi Method
• Gauss-Seidel Method
• Successive Over-Relaxation
• Condition Number
  • Exercises
• Matrix Norm
  • Exercises
• Conjugate Gradient Method

[edit] Approximating Eigenvalues

• Orthogonal Matrix
• Gershgorin Circle Theorem
• Power Iteration
  • Exercises
• Inverse Power Iteration
  • Exercises
• Householder Transformation
  • Exercises
• Hessengberg Matrix
• QR Algorithm
• QR Decomposition