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Rounding errors conditioning and stability
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algorithm applied approximation argument array assumed bound calculate CALL Chapter coefficients column computed consider constant construction CONTINUE convergence correct decimal places defined derivatives determine differential equation discussed eigenvalues elements elimination Equation error estimate evaluate exact example Exercise expression Figure formula FORTRAN four function given given in Figure gives Hence illustrate implemented initial INTEGER interpolation interval known limit linear logical loop matrix method modified multiplier necessary Note number of iterations obtained output PARAMETER perform pivot polynomial positive possible precision problem produce READ REAL Record represent root rounding rule solution solved statement STATUS step steplength subprogram subroutine substitution successive system of equations Table technique Theorem tolerance usually values variable vector write written zero