Numerical Linear Algebra (Google eBook)
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 people are saying - Write a review
This is an excellent book on numerical linear algebra, a very good textbook for a senior undergraduate course. I like the writing style and have been enjoying the reading. Very often it explains "why", not just gives "what" and "how". Highly recommended.
Review: Numerical Linear AlgebraUser Review - Darin Brezeale - Goodreads
The strength of this book is in the conceptual discussions. This isn't the book to use to learn the mechanics of the methods described. It's one of my three favorite numerical linear algebra books. Read full review
Overview of Eigenvalue Algorithms
Reduction to Hessenberg or Tridiagonal Form
Rayleigh Quotient Inverse Iteration
QR Algorithm without Shifts
QR Algorithm with Shifts
Gram Schmidt Orthogonalization
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
Stability of Gaussian Elimination
Other Eigenvalue Algorithms
Computing the SVD
Overview of Iterative Methods
The Arnoldi Iteration
How Arnoldi Locates Eigenvalues
The Lanczos Iteration
From Lanczos to Gauss Quadrature
Appendix The Definition of Numerical Analysis
Other editions - View all
Trefethen and Bau, NUMERICAL LINEAR ALGEBRA
David Bau (currently at Google) and I published a graduate textbook on numerical linear algebra in 1997. Our aims in this book are beauty, depth of insight, ...
www.comlab.ox.ac.uk/ nick.trefethen/ text.html
Lloyd N. Trefethen and David Bau, III
"I have used Numerical Linear Algebra in my introductory graduate course and I ... This is an ideal book for a graduate course in numerical linear algebra ...
www.ec-securehost.com/ SIAM/ ot50.html
Matrix Analysis and Applied Linear Algebra & Numerical Linear ...
Numerical Linear Algebra. Lloyd TREFETHEN and David BAU III. .... Gentle, je (1998), Numerical Linear Algebra for Applications in Statistics, ...
Math 625/CSI 740, Numerical Linear Algebra (Spring 2008)
Text: Numerical Linear Algebra by ln Trefethen and D. Bau, III. Other References: Matrix Computations, by Gene H. Golub and Charles F. Van Loan (Johns ...
math.gmu.edu/ ~dmanders/ WEBDAN/ math625_spring08.html
JSTOR: Numerical Linear Algebra
This low-cost textbook emphasizes many important and relevant topics in numerical linear algebra and seems ideal for a graduate course as long as it is ...
MATH 6664 and C SC 6664: Numerical Linear Algebra, Spring 2005, CU ...
This is a high-level graduate class, which is a prerequisite for the MATH 7664: Iterative Methods in Numerical Linear Algebra offered next spring. ...
math.cudenver.edu/ ~aknyazev/ teaching/ 05/ 6664/
Numerical Linear Algebra
In the long history of development of the numerical linear algebra, there are lots of people who made contribution. One of them is Gauss. ...
www.mgnet.org/ ~douglas/ Classes/ cs521-s02/ linear-algebra/ linear-algebra.ppt
Math 561 – Numerical Linear Algebra Course Outline Spring 2005 18 ...
solving scientific problems involving numerical linear algebra. ... ln Trefethen and D. Bau, III, Numerical Linear Algebra, SIAM, Philadelphia, ...
www.math.colostate.edu/ ~poore/ Math561/ CourseDescription_M561NumericalLinearAlgebra.pdf
Oolala - From Numerical Linear Algebra To Compiler Technology For ...
87 Numerical Linear Algebra (context) - Trefethen - 1997 79 Software libraries for linear algebra computations on high p.. - Dongarra, Walker - 1995 ACM ...
Numerical Linear Algebra, Year 3, M-Level Aims Objectives Syllabus ...
Numerical Linear Algebra, ln Trefethen and D. Bau III, 1997, SIAM. Matrix Computations, gh Golub and cf Van Loan, J. Hopkins University Press. ...
www.maths.sussex.ac.uk/ Staff/ DAK/ TEACH/ nla_course.pdf