Academic year 2010/2011 PhD program in Mathematics UC-UP Department of Mathematics Faculty of Science and Technology, University of Coimbra Teacher: Adérito Araújo

Class	Monday	Tuesday	Wednesday	Thursday	Friday
	11-13 14:30-16:30 Sala 2.4
Attendance	Monday	Tuesday	Wednesday	Thursday	Friday
		10-12:30 Office 5.1		16:30-17:30 Office 5.1

1. Introduction

2. Basic operations and norms

3. Orthogonality and the SVD

4. Introduction to error analysis

5. Linear systems

6. Linear Least Squares

7. Eigenvalue problems

8. Iterative methods

9. Sparse matrices

10. Introduction to High-Performance Computing

11. Projects and applications

• A. Bjorck. Numerical Methods for Least Squares Problems. SIAM 1996.
  
• J. W. Demmel. Applied Numerical Linear Algebra. SIAM 1997.
  
• J. J. Dongarra, I. S. Du, D. C Sorensen, H. A Van der Vorst. Numerical Linear ALgebra for High-Performnce Computers. SIAM 1998.
  
• G. H. Golub, C. F. Van Loan. Matrix Computations. John Hopkins University Press 1996.
  
• N. J. Higham. Accuracy and Stability of Numerical Algorithms. SIAM 2002.
  
• Linear Algebra PACKage
  
• C. D. Meyer. Matrix Analysis and Applied Linear Algebra. SIAM 2000.
  
• L. N. Trefethen, D. Bau. Numerical Linear Algebra. SIAM 1997.

The final exams are in the following dates.

Hour	Final exam	Hour	Final exam 2
14:30	8 de June de 2011	14:30	6 de July de 2011