Milestones in Matrix Computation: The selected works of Gene H. Golub with commentaries

Hardcover (Print)
Buy New
Buy New from BN.com
$146.20
Used and New from Other Sellers
Used and New from Other Sellers
from $12.64
Usually ships in 1-2 business days
(Save 92%)
Other sellers (Hardcover)
  • All (10) from $12.64   
  • New (3) from $41.00   
  • Used (7) from $12.64   

Overview

The text presents and discusses some of the most influential papers in Matrix Computation authored by Gene H. Golub, one of the founding fathers of the field. The collection of 21 papers in divided into five main areas: iterative methods for linear systems, solution of least squares problems, matrix factorizations and applications, orthogonal polynomials and quadrature, and eigenvalue problems an commentaries for each area are provided by leading experts: Anne Greenbaum, Ake Bjorkc, Nicholas Higham, Walter Gautschi, and G.W (Pete) Stewart. Comments on each paper are also provided by the original authors, providing the reader with historical information on how the paper came to be written and under what circumstances the collaboration was undertaken. Including a brief biography and facsimiles of the original papers, this text will be of great interest to students and researchers in numerical analysis and scientific computation.

Read More Show Less

Product Details

  • ISBN-13: 9780199206810
  • Publisher: Oxford University Press
  • Publication date: 4/19/2007
  • Pages: 584
  • Product dimensions: 9.20 (w) x 6.20 (h) x 1.60 (d)

Table of Contents

Gene H Golub
Biography, Chen Greif
Publications of Gene H. Golub Major Awards Students of Gene H. Golub
Iterative Methods for Linear Systems
Commentary, Anne Greenbaum
References Chebyshev semi-iterative methods, successive over-relaxation iterative methods, and second-order Richardson iterative methods, Parts I and II, G Golub and R S Varga
A generalized conjugate gradient method for non-symmetric systems of linear equations, P Concus and G Golub
A generalized conjugate gradient method for the numerical solution of elliptic partial differential equations, P Concus, G Golub, D O'Leary
Hermitian and Skew-Hermitian splitting methods for non-Hermitian positive definite linear systems, Z-Z Bai, G Golub, M K Ng
Solution of Least Squares Problems
Commentary, Ake Bjorck
References Numerical methods for solving linear least squares problems, G Golub
Singular value decomposition and least squares solutions, G Golub and C Reinsch
The differentiation of pseudo-inverses and non-linear least squares problems whose variables separate, G Golub and V Pereyra
Generalized cross-validation as a method for choosing a good ridge parameter, G Golub, M Heath, G Wahba
An analysis of the total least squares problem, G Golub and C Van Loan
Matrix Factorizations and Applications
Commentary, Nicholas Higham
References Calculating the singular values and pseudo-inverse of a matrix, G Golub and W Kahan
The simplex method of linear programming using LU decomposition, R Bartels and G Golub
On direct methods for solving Poisson's equation, B L Buzbee, G Golub, C W Nielson
Numerical methods for computing angles between linear subspaces, A Bjorck, G Golub
Methods for modifying matrix factorizations, P Gill, G Golub, W Murray, M Saunders
Orthogonal Polynomials and Quadrature
Commentary, Walter Gautschi
References Calculation of Gauss quadrature rules, G Golub, J Welsch
Matrices, moments and quadrature, G Golub, G Meurant
Computation of Gauss-Kronrod quadrature rules, D Calvetti, G Golub, W Gragg, L Reichel
Eigenvalue Problems
Commentary, G W Stewart
References Some modified matrix eigenvalue problems, G Golub
Ill-conditioned eigensystems and the computation of the Jordan canonical form, G Golub, J Wilkinson
The block Lanczos method for computing eigenvalues, G Golub, R Underwood
The numerically stable reconstruction of a Jacobi matrix from spectral data, C de Boor, G Golub

Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star

(0)

4 Star

(0)

3 Star

(0)

2 Star

(0)

1 Star

(0)

Your Rating:

Your Name: Create a Pen Name or

Barnes & Noble.com Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & Noble.com that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & Noble.com does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at BN.com or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation

Reminder:

  • - By submitting a review, you grant to Barnes & Noble.com and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Noble.com Terms of Use.
  • - Barnes & Noble.com reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & Noble.com also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on BN.com. It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

 
Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)