Download An Introduction to Numerical Analysis (2nd Edition) by Kendall Atkinson PDF

By Kendall Atkinson

This moment variation of a customary numerical research textual content keeps association of the unique version, yet all sections were revised, a few greatly, and bibliographies were up to date. New themes coated contain optimization, trigonometric interpolation and the quick Fourier remodel, numerical differentiation, the strategy of traces, boundary price difficulties, the conjugate gradient technique, and the least squares suggestions of platforms of linear equations. includes many difficulties, a few with ideas.

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1959). Computational Methods of Linear Algebra. Dover, New York. Forsythe, G. (1969). What is a satisfactory quadratic equation solver? In B. Dejon and P. ), Constructive Aspects of the Fundamental Theorem of Algebra, pp. 53-61, Wiley, New York. , and C. Moler (1967). Computer Solution of Linear Algebraic Systems. Prentice-Hall, Englewood Cliffs, NJ. , M. Malcolm, and C. Moler (1977). Computer Methods for Mathematical Computations. Prentice-Hall, Englewood Cliffs, NJ. Gautschi, W. (1967). Computational aspects of three term recurrence relations.

42 ERROR: ITS SOURCES, PROPAGATION, AND ANALYSIS Groetsch, C. (1984). The Theory of Tikhonov Regularization for Fredholm Equations of the First Kind. Pitman, Boston. Henrici, P. (1962). Discrete Variable Methods in Ordinary Differential Equations. Wiley, New York. , and C. Jesshope (1981). Parallel Computers: Architecture, Programming, and Algorithms. Adam Hilger, Bristol, England. , and A. Craig (1978). Introduction to Mathematical Statistics, 4th ed. Macmillan, New York. Institute of Electrical and Electronics Engineers (1985).

Collins, R. ), Computer Algebra: Symbolic and Algebraic Computation, 2nd ed. Springer-Verlag, Vienna. Wahba, G. (1980). Ill-posed problems: Numerical and statistical methods for mildly, moderately, and severely ill-posed problems with noisy data. Tech. PROBLEMS 43 Rep. # 595, Statistics Department, Univ. of Wisconsin, Madison. Prepared for the Proc. Int. Symp. , 1979. Wahba, G. (1984). Cross-validated spline methods for the estimation of multivariate functions from data on functionals, in Statistics: An Appraisal, H.

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