Numerical Linear Algebra

ISBN-10: 0898713617

ISBN-13: 9780898713619

Edition: 1997

List price: $48.00
30 day, 100% satisfaction guarantee

If an item you ordered from TextbookRush does not meet your expectations due to an error on our part, simply fill out a return request and then return it by mail within 30 days of ordering it for a full refund of item cost.

Learn more about our returns policy


This is a concise, insightful introduction to the field of numerical linear algebra. The clarity and eloquence of the presentation make it popular with teachers and students alike. The text aims to expand the reader's view of the field and to present standard material in a novel way. All of the most important topics in the field are covered with a fresh perspective, including iterative methods for systems of equations and eigenvalue problems and the underlying principles of conditioning and stability. Presentation is in the form of 40 lectures, which each focus on one or two central ideas. The unity between topics is emphasized throughout, with no risk of getting lost in details and technicalities. The book breaks with tradition by beginning with the QR factorization - an important and fresh idea for students, and the thread that connects most of the algorithms of numerical linear algebra.
what's this?
Rush Rewards U
Members Receive:
You have reached 400 XP and carrot coins. That is the daily max!
Study Briefs

Limited time offer: Get the first one free! (?)

All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.

Add to cart
Study Briefs
Italian Grammar Online content $4.95 $1.99
Add to cart
Study Briefs
Portuguese Grammar Online content $4.95 $1.99
Add to cart
Study Briefs
Spanish Grammar Online content $4.95 $1.99
Add to cart
Study Briefs
German Grammar Online content $4.95 $1.99
Customers also bought

Book details

List price: $48.00
Copyright year: 1997
Publisher: Society for Industrial and Applied Mathematics
Binding: Paperback
Pages: 184
Size: 7.25" wide x 10.25" long x 0.75" tall
Weight: 1.650
Language: English

Matrix-vector multiplication
Orthogonal vectors and matrices
The singular value decomposition
More on the SVD
QR Factorization and Least Squares:
QR factorization
Gram-Schmidt orthogonalization
Householder triangularization
Least squares problems
Conditioning and Stability:
Conditioning and condition numbers
Floating point arithmetic
More on stability
Stability of householder triangularization
Stability of back substitution
Conditioning of least squares problems
Stability of least squares algorithms
Systems of Equations:
Gaussian elimination
Stability of Gaussian elimination
Cholesky factorization
Eigenvalue problems
Overview of Eigenvalue algorithms
Reduction to Hessenberg or tridiagonal form
Rayleigh quotient, inverse iteration
QR algorithm without shifts
QR algorithm with shifts
Other Eigenvalue algorithms
Computing the SVD
Iterative Methods:
Overview of iterative methods
The Arnoldi iteration
How Arnoldi locates Eigenvalues
The Lanczos iteration
From Lanczos to Gauss quadrature
Conjugate gradients
Biorthogonalization methods
Free shipping on orders over $35*

*A minimum purchase of $35 is required. Shipping is provided via FedEx SmartPost® and FedEx Express Saver®. Average delivery time is 1 – 5 business days, but is not guaranteed in that timeframe. Also allow 1 - 2 days for processing. Free shipping is eligible only in the continental United States and excludes Hawaii, Alaska and Puerto Rico. FedEx service marks used by permission."Marketplace" orders are not eligible for free or discounted shipping.

Learn more about the TextbookRush Marketplace.