Fundamentals of Numerical Analysis |
Contents
CHAPTER PAGE 1 INTRODUCTION | 3 |
SYSTEMS OF LINEAR ALGEBRAIC EQUATIONS | 11 |
NONLINEAR EQUATIONS | 28 |
Copyright | |
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1817 LIBRARIES applied approximate the solution B₁ boundary values calculation CHIGAN choice coefficients column complex roots condition corresponding decimal places derivative determine difference equation differential equation differential system digits equations involving errors involved Euler's method Example Exercise factors formula involving function Gauss gives grid Hence integral equation integrand interval inverse iteration methods k₁ k₂ Lin's method linear matrix method to approximate MICHIG MICHIGAN Newton-Raphson method Newton's method nodes partial differential equations Pn(x points polynomial equations problems quadrature formula rate of convergence real roots result roundoff errors Simpson's rule solve step system of equations techniques temperature tion trapezoidal rule triangular form triangular matrix truncation error U₁ Ui+¹ Uit¹ UNIV UNIVERSITY unknown variable write Xk+1 Xn+1 y₁ Yn+1 zero