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$7.93
1. The Theory of Matrices in Numerical
$4.11
2. Principles of Numerical Analysis
$13.99
3. Bibliography on numerical analysis
 
4. Numerical Treatment of a Single
 
5. Handbook for Automatic Computation:
 
6. Mathematical Biophysics of the
 
7. Principles of Numerical Analysis
$13.99
8. The generation of error in digital
$13.99
9. On the convergence of matrix iterations
 
10. Lectures on numerical algebra
$13.99
11. Generated error in the solution
 
12. Mathematical Biophysics of the
 
$71.00
13. Handbook for Automatic Computation:
14. Dictionary of Abbreviations (Hutchinson
 
$40.00
15. Handbook for Automatic Computation:
 
16. KWIC index for numerical algebra
 
17. The numerical solution of algebraic
 
18. KWIC index for numerical algebra.
 
19. Principles of numerical Analysis
 
20. The Theory of Matrices in Numerical

1. The Theory of Matrices in Numerical Analysis (Dover Books on Mathematics)
by Alston S. Householder
Paperback: 272 Pages (2006-01-20)
list price: US$14.95 -- used & new: US$7.93
(price subject to change: see help)
Asin: 0486449726
Average Customer Review: 5.0 out of 5 stars
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Editorial Review

Product Description

Suitable for advanced undergraduates and graduate students, this text presents selected aspects of matrix theory that are most useful in developing computational methods for solving linear equations and finding characteristic roots. Topics include norms, bounds and convergence; localization theorems and other inequalities; and methods of solving systems of linear equations. 1964 edition.
... Read more

Customer Reviews (1)

5-0 out of 5 stars A classic
Table of contents

1. SOME BASIC IDENTITIES AND INEQUALITIES
1.0 Objectives; Notation
1.1 Elementary Matrices
1.2 Some Factorizations
1.3 Projections, and the General Reciprocal
1.4 Some Determinantal Identities
1.5 Lanczos Algorithm for Tridiagonalization
1.6 Orthogonal Polynomials
References
Problems and Exercises

2. NORMS, BOUNDS, AND CONVERGENCE
2.0 The Notion of a Norm
2.1 Convex Sets and Convex Bodies
2.2 Norms and Bounds
2.3 Norms, Bounds, and Spectral Radii
2.4 Nonnegative Matrices
2.5 Convergence; Functions of Matrices
References
Problems and Exercises

3. LOCALIZATION THEOREMS AND OTHER INEQUALITIES
3.0 Basic Definitions
3.1 Exclusion Theorems
3.2 Inclusion and Separation Theorems
3.3 Minimax Theorems and the Field of Values
3.4 Inequalities of Wielandt Kantorovich
References
Problems and Exercises

4. THE SOLUTION OF LINEAR SYSTEMS: METHODS OF SUCCESSIVE APPROXIMATION
4.0 Direct Methods and Others
4.1 The Inversion of Matrices
4.2 Methods of Projection
4.3 Norm-Reducing Methods
References
Problems and Exercises

5. DIRECT METHODS OF INVERSION
5.0 Uses of the Inverse
5.1 The Method of Modification
5.2 Triangularization
5.3 A More General Formulation
5.4 Orthogonal Triangularization
5.5 Orthogonalization
5.6 Orthogonalization and Projection
5.7 The Method of Conjugate Gradients
References
Problems and Exercises

6. PROPER VALUES AND VECTORS: NORMALIZATION AND REDUCTION OF THE MATRIX
6.0 Purpose of Normalization
6.1 The Method of Krylov
6.2 The Weber-Voetter Method
6.3 The Method of Danilevskii
6.4 The Hessenberg and the Lanczos Reductions
6.5 Proper Values and Vectors
6.6 The Method of Samuelson and Bryan
6.7 The Method of Leverrier
References
Problems and Exercises

7.PROPER VALUES AND VECTORS: SUCCESSIVE APPROXIMATION
7.0 Methods of Successive Approximation
7.1 The Method of Jacobi
7.2 The Method of Collar and Jahn
7.3 Powers of a Matrix
7.4 Simple Iteration (the Power Method)
7.5 Multiple Roots and Principal Vectors
7.6 Staircase Iteration (Treppeniteration)
7.7 The LR-Transformation
7.8 Bi-iteration
7.9 The QR-Transformation
References
Problems and Exercises

BIBLIOGRAPHY
INDEX ... Read more


2. Principles of Numerical Analysis
by Alston S. Householder
Paperback: 288 Pages (2006-09-29)
list price: US$16.95 -- used & new: US$4.11
(price subject to change: see help)
Asin: 048645312X
Average Customer Review: 3.0 out of 5 stars
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Editorial Review

Product Description

Computer science rests upon the building blocks of numerical analysis. This concise treatment by an expert covers the essentials of the solution of finite systems of linear and nonlinear equations as well as the approximate representation of functions. A final section provides 54 problems, subdivided according to chapter. 1953 edition.
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Customer Reviews (1)

3-0 out of 5 stars Outdated
I guess this should be expected for a book decades old on a subject that was still settling out when Householder was writing this.

While it does give some thoughts on central concepts in Numerical Analysis, its treatment is far from the standard.I'm sorry to say this, especially with an author as great as Householder, but I personally thought Hildebrand was better.

Actually, if you're going to get a book as an introduction to Numerical Analysis, I would seriously suggest Gautschi's. ... Read more


3. Bibliography on numerical analysis
by Alston Scott Householder
Paperback: 36 Pages (1955-01-01)
list price: US$13.99 -- used & new: US$13.99
(price subject to change: see help)
Asin: B0040X4P9K
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Editorial Review

Product Description
This volume is produced from digital images created through the University of Michigan University Library's large-scale digitization efforts. The Library seeks to preserve the intellectual content of items in a manner that facilitates and promotes a variety of uses. The digital reformatting process results in an electronic version of the original text that can be both accessed online and used to create new print copies. The Library also understands and values the usefulness of print and makes reprints available to the public whenever possible. This book and hundreds of thousands of others can be found in the HathiTrust, an archive of the digitized collections of many great research libraries. For access to the University of Michigan Library's digital collections, please see http://www.lib.umich.edu and for information about the HathiTrust, please visit http://www.hathitrust.org ... Read more


4. Numerical Treatment of a Single Nonlinear Equation (Pure & Applied Mathematics)
by Alston S. Householder
 Hardcover: 224 Pages (1970-06)
list price: US$31.00
Isbn: 0070304653
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5. Handbook for Automatic Computation: Volume 2: Linear Algebra (Grundlehren der mathematischen Wissenschaften) (Vol 2)
by John H. Wilkinson, C. Reinsch
 Hardcover: 439 Pages (1986-05-09)
list price: US$79.00
Isbn: 3540054146
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6. Mathematical Biophysics of the Central Nervous System (Mathematical biophysics monograph series)
by Alston Scott Householder, Herbert D. Landahl
 Hardcover: 124 Pages (1945)

Asin: B0007E3NKI
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7. Principles of Numerical Analysis
by Alston S. Householder
 Hardcover: 274 Pages (1953-01-01)

Asin: B0000CIQ6C
Canada | United Kingdom | Germany | France | Japan

8. The generation of error in digital computation
by Alston Scott Householder
Paperback: 84 Pages (1955-01-01)
list price: US$13.99 -- used & new: US$13.99
(price subject to change: see help)
Asin: B0041KKT38
Canada | United Kingdom | Germany | France | Japan
Editorial Review

Product Description
This volume is produced from digital images created through the University of Michigan University Library's large-scale digitization efforts. The Library seeks to preserve the intellectual content of items in a manner that facilitates and promotes a variety of uses. The digital reformatting process results in an electronic version of the original text that can be both accessed online and used to create new print copies. The Library also understands and values the usefulness of print and makes reprints available to the public whenever possible. This book and hundreds of thousands of others can be found in the HathiTrust, an archive of the digitized collections of many great research libraries. For access to the University of Michigan Library's digital collections, please see http://www.lib.umich.edu and for information about the HathiTrust, please visit http://www.hathitrust.org ... Read more


9. On the convergence of matrix iterations
by Alston Scott Householder
Paperback: 52 Pages (1955-01-01)
list price: US$13.99 -- used & new: US$13.99
(price subject to change: see help)
Asin: B003Z0CY7E
Canada | United Kingdom | Germany | France | Japan
Editorial Review

Product Description
This volume is produced from digital images created through the University of Michigan University Library's large-scale digitization efforts. The Library seeks to preserve the intellectual content of items in a manner that facilitates and promotes a variety of uses. The digital reformatting process results in an electronic version of the original text that can be both accessed online and used to create new print copies. The Library also understands and values the usefulness of print and makes reprints available to the public whenever possible. This book and hundreds of thousands of others can be found in the HathiTrust, an archive of the digitized collections of many great research libraries. For access to the University of Michigan Library's digital collections, please see http://www.lib.umich.edu and for information about the HathiTrust, please visit http://www.hathitrust.org ... Read more


10. Lectures on numerical algebra
by Alston Scott Householder
 Paperback: 257 Pages (1972)

Asin: B0006CB6F0
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11. Generated error in the solution of certain partial difference equations
by Alston Scott Householder
Paperback: 48 Pages (1956-01-01)
list price: US$13.99 -- used & new: US$13.99
(price subject to change: see help)
Asin: B0040X4QCQ
Canada | United Kingdom | Germany | France | Japan
Editorial Review

Product Description
This volume is produced from digital images created through the University of Michigan University Library's large-scale digitization efforts. The Library seeks to preserve the intellectual content of items in a manner that facilitates and promotes a variety of uses. The digital reformatting process results in an electronic version of the original text that can be both accessed online and used to create new print copies. The Library also understands and values the usefulness of print and makes reprints available to the public whenever possible. This book and hundreds of thousands of others can be found in the HathiTrust, an archive of the digitized collections of many great research libraries. For access to the University of Michigan Library's digital collections, please see http://www.lib.umich.edu and for information about the HathiTrust, please visit http://www.hathitrust.org ... Read more


12. Mathematical Biophysics of the Central N
by Alston Householder
 Hardcover: Pages (1945-01-01)

Asin: B000Q5TCQ2
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13. Handbook for Automatic Computation: Volume 1, Part b: Translation of ALGOL 60 (Grundlehren der mathematischen Wissenschaften)
by Albert A. Grau, U. Hill, H. Langmaack
 Hardcover: Pages (1967-01-01)
list price: US$71.00 -- used & new: US$71.00
(price subject to change: see help)
Asin: 3540038280
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14. Dictionary of Abbreviations (Hutchinson Pocket Series)
by Alston S Householder
Paperback: 192 Pages (1994-01)

Isbn: 1859860079
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Editorial Review

Product Description
In this work 5000 abbreviations are listed and explained, from NATO to CTScan and from SDLP to CNN. The areas covered include current affairs, computing, warfare, education and medicine. ... Read more


15. Handbook for Automatic Computation: Volume 1, Part a: Description of ALGOL 60 (Grundlehren der mathematischen Wissenschaften)
by Heinz Rutishauser
 Hardcover: Pages (1967-01-01)
list price: US$40.00 -- used & new: US$40.00
(price subject to change: see help)
Asin: 3540038264
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16. KWIC index for numerical algebra
by Alston Scott Householder
 Unknown Binding: 627 Pages (1975)

Asin: B0006WLKLU
Canada | United Kingdom | Germany | France | Japan

17. The numerical solution of algebraic and transcendental equations
by Alston Scott Householder
 Unknown Binding: Pages (1966)

Asin: B0007JZ9QY
Canada | United Kingdom | Germany | France | Japan

18. KWIC index for numerical algebra. Supplement
by Alston Scott Householder
 Unknown Binding: Pages (1973)

Asin: B0006WCHZI
Canada | United Kingdom | Germany | France | Japan

19. Principles of numerical Analysis
by Alston S. Householder
 Paperback: Pages (1974)

Asin: B000LCF1U6
Canada | United Kingdom | Germany | France | Japan

20. The Theory of Matrices in Numerical Analysis
by Alston Scott Householder
 Hardcover: Pages (1975)

Asin: B000MBOTG8
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