Introduction to precise numerical methods

Preface . . xi
Acknowledgments . . xiii
1 Introduction . . 1
2 Computer Arithmetics . . 9
3 Classification of Numerical Computation Problems . . 25
4 Real-Valued Functions . . 37
5 Computing Derivatives . . 41
6 Computing Integrals . . 57
7 Finding Where a Function f(x) is Zero . . 69
8 Finding Roots of Polynomials . . 79
9 Solving n Linear Equations in n Unknowns . . 97
10 Eigenvalue and Eigenvector Problems . . 109
11 Problems of Linear Programming . . 137
12 Finding Where Several Functions are Zero . . 159
13 Optimization Problems . . 181
14 Ordinary Differential Equations . . 191
15 Partial Differential Equations . . 217
16 Numerical Methods with Complex Functions . . 235
The Precise Numerical Methods Program PNM . . 248
Index . . 249