![]() Substituting the x values into the equations The maximum absolute relative error after the Solution should converge using the Gauss-Siedel ![]() Row is strictly greater than Therefore The The inequalities are all true and at least one Will the solution converge using the Gauss-SiedelĬhecking if the coefficient matrix is diagonally Iterations are stopped when the absolute relativeĪpproximate error is less than a prespecified Important Remember to use the most recentĬalculated to the calculations remaining in theĬalculate the Absolute Relative Approximate Error Use rewritten equations to solve for each value Unknown ex First equation, solve for x1 Secondįrom Equation 1 From equation 2 From equation If the diagonal elements are non-zero RewriteĮach equation solving for the corresponding The physics of the problem are understood, aĬlose initial guess can be made, decreasing the Such as Gaussian Elimination and LU DecompositionĪre prone to prone to round-off error. The Gauss-Seidel Method allows the user toĬontrol round-off error. Use absolute relative approximate error afterĮach iteration to check if error is within a.Algebraically solve each linear equation for xi.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |