CIS 515, Fall 2013
Useful References:

Introduction to Numerical Linear Algebra and Optimization,
by P.G. Ciarlet, Cambridge, 2001
(Parts of Chapters 1, 2, 4, 6, 7)

Linear Algebra and its Applications,
by Peter Lax, Wiley, 2007.

Linear Algebra and its Applications,
by Gilbert Strang, Saunders HBJ, 1988.

Linear Algebra Done Right,
by Sheldon Axler, Springer, UTX, 1997

Matrix Analysis and Applied Linear Algebra, by
C.D. Meyer, SIAM, 2000
(Another general reference on Numerical Linear Algebra)

Linear Algebra,
by K. Hoffman and R. Kunze, Prentice Hal 1971.

Algebra,
by Michael Artin, Prentice Hall, 1991.

Matrix Analysis,
by Roger Horn and Charles Johnson, Cambridge, 1990.
(The ``bible'' on matrix algebra and matrix analysis)

Matrices, Theory and Applications,
by Denis Serre, Springer, 2010.

Numerical Linear Algebra, by
L. Trefethen and D. Bau,
SIAM, 1997 (Parts of Chapters I, II, IV and V)

Applied Numerical Linear Algebra, by
J. Demmel, SIAM, 1997
(Parts of Chapters I, II, III, IV and V)

Matrix Computations, by G.H. Golub and C.F. Van Loan,
SIAM, 1996 (General reference on Numerical Linear Algebra)

Understanding and Using Linear Programming, by
J. Matousek and B. Gartner,
Springer Universitext, 2007
(Parts of Chapters 1, 2, 3, 4, 5, 6)

Online slides by L. Vandenberghe,
http://www.ee.ucla.edu/ee236a/ee236a.html
The MacTutor History of Mathematics archive
Welcome Page
The Mathematics Genealogy Project
Home Page
Papers Relevant to the Course Material

Image Compression, by Greg Ames, 2002
(pdf)

Talk on GramSchmidt
(pdf)

History of Gaussian elimination
(pdf)
 On the Early History of the Singular Value Decomposition,
by G.W. Stewart
(pdf)
 Appendices I and II of Lectures on Matrices, by
J.H.M Wedderburn (1937)
(pdf)

The Geometry of Algorithms with Orthogonality Constraints,
by Edelman, Aris, and Smith (1998)
(pdf)

Riemannian Geometry of Grassmann Manifolds ..., by Absil, Mahoney,
Sepulchre (2004)
(pdf)

Statistical Computations on Grassmann and Stiefel Manifolds for Image
and
VideoBased Recognition,
by Turaga and Srivastava (2011)
(pdf)
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