Methods in Numerical Analysis

a₁ algebraic arithmetic mean Ay A2y A³y b₁ b₂ binomial coefficients calculating machines central difference table Chapter cofactor column computed constant Crout's method derived matrix desired determinant diagonal difference quotients differential equation divided differences entries equally spaced intervals evaluated Example expression f(xo Find the value given values independent variable inherent errors integral Interpolation Coefficients interpolation formula Lagrange's formula Lagrangian Let us consider linear equations Mathematical method of iteration multiplied Newton's normal equations notation numerical analysis obtain Orthogonal Polynomials P₁ P₂ partial derivatives Pi(xi points polynomial interpolating procedure quadratic residuals roots Runge-Kutta method schematic Simpson's Rule Solution solve Stirling's Stirling's formula system of linear table of values tabulated tion trigonometric Xi+1 y₁ zero απ аз ду Дуо Хо يع