13M.Sc. Physics 4.About Solution of Linear Equations: Pathology i)Matrix is Singular ii)System is ill-conditioned ( Small changes in input give rise to large changes in the output) Pivoting and Scaling Norms of Matrices i) ii) iii) iv) Condition No.
M.Sc. Physics14 5.Solution of Linear Equations: Simple Iterative Method Gauss-Seidel Method The diagonal element must be greater than the off-diagonal element for each row to ensure the convergence. Relaxation Method