Numerical Linear Algebra and Matrix Factorizations

The author has a long experience at the university level, teaching numerical analysis, numerical linear algebra and matrix theory, mathematical optimization, approximation theory, and computer aided geometric design. He has received the Dagstuhl foundation’s John Gregory Memorial Award for "Outstanding contributions to geometric modeling" and is a member of Norwegian Academy of Science and Letters. He has published more than 90 papers in leading international journals and refereed proceedings, edited 17 books and is on the editorial board of 4 international journals. Jointly with Prof. Jean-Louis Merrien,  he has published the book “Exercises in Computational Mathematics with MATLAB “ published by Springer in 2014.

• A Short Review of Linear Algebra.- LU and QR Factorizations.- Eigenpairs and Singular Values.- Matrix Norms and Least Squares.- Kronecker Products and Fourier Transforms.- Iterative Methods for Large Linear Systems.- Eigenvalues and Eigenvectors.- Index.

“It is more suitable for students with a few more advanced courses that include at least some real analysis and introductory numerical analysis.” (Tom Lyche, MAA Reviews, November 7, 2020)