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SIMULTANEOUS LINEAR ALGEBRAIC EQUATIONS
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algebra analytic assume backward differences Bessel's formula boundary conditions calculation central difference formulae Chapter coefficients column complex roots computation constant convergence correct corrector corresponding denoted derivatives differencing differential equation elimination entries estimate evaluate Everett's formula exact f(xr first-order forward differences function values Gauss-Seidel method given gives guarding figure Hartree Hence ill-conditioned increases initial integral curve interval involve isoclinals iteration labour Laplace's equation linear equations linear interpolation machines Milne mistake negligible Newton's forward formula Newton's method obtain operations table problem range recurrence relation reduced relative error relaxation methods residuals round-off errors shows significant figures Similarly Simpson's rule simultaneous equations solution Solve the equation step Stirling's formula sub-tabulation substitution sufficient tabulated truncation error usually value of h variables xn+i zero