Numerical Algorithms with C > 알고리즘

1 Computer Numbers, Error Analysis, Conditioning, Stability of Algorithms and Operations Count 1
2 Nonlinear Equations in One Variable 13
3 Roots of Polynomials 43
4 Direct Methods for Solving Systems of Linear Equations 59
5 Iterative Methods for Linear Systems 131
6 Systems of Nonlinear Equations 143
7 Eigenvalues and Eigenvectors of Matrices 155
8 Linear and Nonlinear Approximation 179
9 Polynomial and Rational Interpolation 219
10 Interpolating Polynomial Splines for Constructing Smooth Curves 251
11 Cubic Fitting Splines for Constructing Smooth Curves 287
12 Two-Dimensional Splines, Surface Splines, Bezier Splines, B-Splines 299
13 Akima and Renner Subsplines 341
14 Numerical Differentiation 353
15 Numerical Integration 361
16 Numerical Cubature 403
17 Initial Value Problems for Ordinary Differential Equations 423
18 Boundary Value Problems for Ordinary Differential Equations 489
App. A ANSI C Functions 509
App. B Bibliography 569
App. C Index 591