Introduction to Computational Linear Algebra

Nabil Nassif is affiliated with the Department of Mathematics at the American University of Beirut, where he teaches and conducts research in mathematical modeling, numerical analysis, and scientific computing. He earned a PhD in applied mathematics from Harvard University under the supervision of Professor Garrett Birkhoff. Jocelyne Erhel is a senior research scientist and scientific leader of the Sage team at INRIA in Rennes, France. She earned a PhD from the University of Paris. Her research interests include sparse linear algebra and high performance scientific computing applied to geophysics, mainly groundwater models. Bernard Philippe was a senior research scientist at INRIA in Rennes, France, until 2015 when he retired. He earned a PhD from the University of Rennes. His research interests include matrix computing with a special emphasis on large-sized eigenvalue problems.

Basic Linear Algebra Subprograms: BLAS. Basic Concepts for Matrix Computations. Gauss Elimination and LU Decompositions of Matrices. Orthogonal Factorizations and Linear Least Squares Problems. Algorithms for the Eigenvalue Problem. Iterative Methods for Systems of Linear Equations. Sparse Systems to Solve Poisson Differential Equations. Bibliography. Index.