Francoise Chatelin is Professor of Mathematics at the University of Toulouse and head of the Qualitative Computing Group at CERFACS. Before moving to CERFACS, she was a professor at the universities of Grenoble and Paris IX Dauphine. She also worked for a decade in the industrial research laboratories of IBM France and Thales, where she was in charge of intensive computing activities. Her areas of expertise include spectral theory for linear operators in Banach spaces and finite precision computation of very large eigenproblems. She currently explores the uncharted domain of mathematical computation that lies beyond real or complex analysis.
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Description
Chapter 1: Supplements from Linear Algebra Chapter 2: Elements of Spectral Theory Chapter 3: Why Compute Eigenvalues? Chapter 4: Error Analysis Chapter 5: Foundations of Methods for Computing Eigenvalues Chapter 6: Numerical Methods for Large Matrices Chapter 7: Chebyshev's Iterative Methods Chapter 8: Polymorphic Information Processing with Matrices Appendix A: Solution to Exercises Appendix B: References for Exercises Appendix C: References

