Book:B. Noble/Numerical Methods/Volume 1

B. Noble: Numerical Methods, Volume $\text { I }$

Published $\text {1964}$, Oliver and Boyd Ltd

Subject Matter

• Numerical Analysis

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

Next

Also see

• 1964: B. Noble: Numerical Methods: Volume $\text { 2 }$

Source work progress

• 1964: B. Noble: Numerical Methods: Volume $\text { 1 }$ ... (previous) ... (next): Chapter $\text I$: Accuracy and Error: $\S 1.1$. Introduction