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The Theory of Matrices in Numerical Analysis
Aspects of the theory most useful in developing and appraising computational methods for solving systems of linear equations and for finding characteristic roots. Basic identities and inequalities; norms, bounds and convergence; localization theorems and other inequalities; the solution of linear systems; much more.
- GenresMathematics
257 pages, Paperback
First published June 1, 1975
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December 26, 2015
An excellent book if your interest is solely in the theory behind matrices in numerical analysis
Originally published in 1964 and first published by Dover in 1975, the content in this book is a flashback to the days before technology simplified matrix operations. All of the processes are expressed in the form of mathematical theory, there are very few, if any, worked examples. Problems and exercises appear at the end of each chapter but they also deal with theory rather than specific problems to solve. No solutions are given.
The chapter headings are:
*) Some basic identities and inequalities
*) Norms, bounds and convergence
*) Localization theorems and other inequalities
*) The solution of linear systems: methods of successive approximations
*) Direct methods of inversion
*) Proper values and vectors: normalization and reduction of the matrix
*) Proper values and vectors: successive approximations
The word “theory” is correctly used in the title, this book is about how things work, not how they are used in practice.
This review also appears on Amazon
Originally published in 1964 and first published by Dover in 1975, the content in this book is a flashback to the days before technology simplified matrix operations. All of the processes are expressed in the form of mathematical theory, there are very few, if any, worked examples. Problems and exercises appear at the end of each chapter but they also deal with theory rather than specific problems to solve. No solutions are given.
The chapter headings are:
*) Some basic identities and inequalities
*) Norms, bounds and convergence
*) Localization theorems and other inequalities
*) The solution of linear systems: methods of successive approximations
*) Direct methods of inversion
*) Proper values and vectors: normalization and reduction of the matrix
*) Proper values and vectors: successive approximations
The word “theory” is correctly used in the title, this book is about how things work, not how they are used in practice.
This review also appears on Amazon
Displaying 1 of 1 review