Numerical Methods: Problems and Solutions
New Age International, 2007 - Numerical analysis - 421 pages
Is An Outline Series Containing Brief Text Of Numerical Solution Of Transcendental And Polynomial Equations, System Of Linear Algebraic Equations And Eigenvalue Problems, Interpolation And Approximation, Differentiation And Integration, Ordinary Differential Equations And Complete Solutions To About 300 Problems. Most Of These Problems Are Given As Unsolved Problems In The Authors Earlier Book. User Friendly Turbo Pascal Programs For Commonly Used Numerical Methods Are Given In The Appendix. This Book Can Be Used As A Text/Help Book Both By Teachers And Students.
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Aitken 2-process Bairstow's method Birge-Vieta method bisection method Chebyshev method coefficients complex roots correct to five correct to three deflated polynomial determine double root equation f equation f(x error equation evaluation per iteration exact root F H G f(xk FHGIKJ five decimals given equation Hence initial approximation interval iteration method iteration scheme Jacobian matrix loge Lund Univ method requires multiple root multipoint method Newton-Raphson method 1.9 nn nn number of real obtain the error obtain the following obtain the iteration obtain the sequence Pn(x rate of convergence real number real roots Regula-Falsi method root correct root lies Secant method Second iteration x0 sequence of iterates simple root smallest positive root Starting with x0 Sturm sequence Substituting xn Sweden synthetic division method system of equations Taylor series Third iteration third order method three decimal places xn+1