Book:B. Noble/Numerical Methods/Volume 1
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B. Noble: Numerical Methods, Volume $\text { I }$
Published $\text {1964}$, Oliver and Boyd Ltd
Subject Matter
Contents
- Preface
- Volume $\text I$. -- ITERATION, PROGRAMMING AND ALGEBRAIC EQUATIONS
- $\text {I}$. Accuracy and Error
- 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
- $\text {II}$. Iterative Methods, with Applications to the Solution of Equations
- 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 $\text {II}$
- $\text {III}$. Elementary Programming for Automatic Computers
- 3.1 Introduction
- 3.2 Simple programs
- 3.3 Some programs involving iterative procedures
- 3.4 General comments
- Examples $\text {III}$
- $\text {IV}$. Simultaneous Linear Algebraic Equations
- 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 $\text {IV}$
- $\text {V}$. Matrix Methods
- 5.1 Matrix algebra
- 5.2 A compact elimination method for the solution of linear equations
- 5.3 The inverse matrix
- Examples $\text {V}$
- $\text {VI}$. Eigenvalues and Eigenvectors
- 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 $\text {VI}$
- Index
Also see
Source work progress
- 1964: B. Noble: Numerical Methods: Volume $\text { 1 }$ ... (previous) ... (next): Chapter $\text I$: Accuracy and Error: $\S 1.1$. Introduction