List of Tables

1. Floating $\rightarrow$ Normalized.
2. The bisection method for $f(x)=3x + sin(x) - e^x$, starting from $x_1=0,x_2=1$, using a tolerance value of 1E-4.
3. The Secant method for $f(x)=3x + sin(x) - e^x$, starting from $x_0=1,x_1=0$, using a tolerance value of 1E-6.
4. Comparison of methods, $f(x)=3x + sin(x) - e^x$, starting from $x_0=0,x_1=1$.
5. The Error Sequences
6. The order of convergence for the iteration algorithm with the different forms of $x = g(x)$ .
7. Right: Errors when finding a double root. Left: Successive errors with Newton's method, for $f(x)=(x+1)^3=0$.
8. An example for solving a system by iteration
9. Another example for solving a system by iteration
10. The Error Sequences
11. The Error Sequences
12. A comparison of singular and nonsingular matrices
13. Successive estimates of solution (Jacobi method)
14. Successive estimates of solution (Gauss-Seidel method)
15. Fitting a polynomial to data.
16. Divided-difference table in symbolic form.
17. Divided-difference table in numerical values.
18. Data to illustrate curve fitting.
19. Comparison of economized series with Maclaurin series.
20. Comparison of Chebyshev series for $e^x$ with Maclaurin series.
21. Forward-difference approximations for $f(x)=e^x sin(x)$.
22. Central-difference approximations for $f(x)=e^x sin(x)$.
23. Example for the trapezoidal rule.