CIS 5150, Fall 2024

Useful References:

Matrix Analysis and Applied Linear Algebra, by C.D. Meyer, SIAM, 2000 (A general reference on Numerical Linear Algebra)
Linear Algebra and its Applications, by Gilbert Strang, Saunders HBJ, 1988.
Linear Algebra and Learning from Data, by Gilbert Strang, Wellesley/Cambridge Press, 2019.
Linear Algebra and its Applications, by Peter Lax, Wiley, 2007.
Linear Algebra Done Right, by Sheldon Axler, Springer, UTX, 1997
Introduction to Numerical Linear Algebra and Optimization, by P.G. Ciarlet, Cambridge, 2001 (Parts of Chapters 1, 2, 4, 6, 7)
Linear Algebra, by K. Hoffman and R. Kunze, Prentice Hal 1971.
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 Analysis, by Roger Horn and Charles Johnson, Cambridge, 1990.
(The ``bible'' on matrix algebra and matrix analysis)
Matrix Computations, by G.H. Golub and C.F. Van Loan, SIAM, 1996 (General reference on Numerical Linear Algebra)
Algebra, by Michael Artin, Prentice Hall, 1991.
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

Image Compression, by Greg Ames, 2002 (pdf)
Talk on Gram-Schmidt (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)
Boris Delone (On his life and creative work) (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 Video-Based Recognition,
by Turaga and Srivastava (2011) (pdf)
Curve Interpolation Using Quintic Be'zier Splines
Unpublished manuscript by Jean Gallier (pdf)
Alternating Direction Method of Multipliers
Slides from a course, by S. Boyd (pdf)

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