Book:B. Noble/Numerical Methods/Volume 1

Subject Matter

 * Numerical Analysis

Contents



 * $\text I$. -- ITERATION, PROGRAMMING AND ALGEBRAIC EQUATIONS


 * $\text {I}$.
 * 1.1 Introduction
 * 1.2 Rounding off
 * 1.3 Absolute and relative errors
 * 1.4 Error analysis and control
 * 1.5 The evaluation of formulae on desk machines
 * 1.6 Mistakes
 * Examples I


 * $\text {II}$.
 * 2.1 Introduction
 * 2.2 A simple iterative method
 * 2.3 The Newton-Raphson iterative method
 * 2.4 General aspects of iterative procedures
 * 2.5 Real roots of polynomials
 * 2.6 Errors when finding roots of polynomials
 * 2.7 Bairstow's method for finding complex roots of polynomials
 * Examples $\text {II}$


 * $\text {III}$.
 * 3.1 Introduction
 * 3.2 Simple programs
 * 3.3 Some programs involving iterative procedures
 * 3.4 General comments
 * Examples $\text {III}$


 * $\text {IV}$.
 * 4.1 Introduction
 * 4.2 The method of successive elimination
 * 4.3 Choice of pivots and scaling
 * 4.4 Inherent error and ill-conditioned equations
 * 4.5 A computer program for the method of successive elimination
 * Examples $\text {IV}$


 * $\text {V}$.
 * 5.1 Matrix algebra
 * 5.2 A compact elimination method for the solution of linear equations
 * 5.3 The inverse matrix
 * Examples $\text {V}$


 * $\text {VI}$.
 * 6.1 Introduction
 * 6.2 An iterative method for finding the largest eigenvalue
 * 6.3 The determination of subdominant eigenvalues and eigenvectors
 * 6.4 The iterative solution of linear simultaneous algebraic equations
 * Examples $\text {VI}$





Source work progress
* : Chapter $\text I$: Accuracy and Error: $\S 1.1$. Introduction