Module Title:
Numerical Linear Algebra
Module Code:
DSC6232

Module Content

• Special classes of matrices (normal, unitary, Hermitian, positive definite)
• Solving system of equations
• Fundamental linear algebraic concepts (matrix norms, eigenvalues, singular values and vectors)
• Euclidean space and inner product, linear transformations, multilinear form, quadratic forms
• Transform matrices into triangular, Hessenberg, tri-diagonal, or unitary form
• Direct methods for solving linear algebraic systems
• Iterative techniques for solving linear algebraic systems and eigenvalues problems
• Multigrid methods
• Convergence, stability and complexity of algorithms