## Numerical mathematics: theory and computer applications |

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abscissas algorithm approximation assume asymptotic band matrix boundary conditions boundary values characteristic equation Chebyshev Chebyshev polynomials choose coefficients compute consider constant convergence corresponding decimals defined denoted derivative determined diagonal difference equation differential equation dx dy eigenvalues eigenvectors elements equal exact solution exact value example expression factor finite function f(x Further gamma function Gaussian elimination given gives Hence Hermite polynomials integral equation interpolation iteration Laplace Laplace transformation Legendre polynomials matrix matrix norm method minimized multiply norm notation obtain Obviously operator orthogonal orthogonal polynomials performed points possible power series problem properties proved random numbers recursion formula relation result Richardson extrapolation roots satisfied series expansion simple sin2 sinh solve square suppose symmetric system of equations technique term theorem tion transformation triangular truncation error unitary unitary matrix variables zero