G. Strang, Linear Algebra and Its Applications, 4th. Cengage Learning, 2006.
PETSc Users Manual, https://petsc.org/release/manual/
Terminated in academic year 2023/2024
Numerical linear algebra 2
| Type of study | Bachelor |
|---|---|
| Language of instruction | English |
| Code | 470-2211/04 |
| Abbreviation | NLA2 |
| Course title | Numerical linear algebra 2 |
| Credits | 3 |
| Coordinating department | Department of Applied Mathematics |
| Course coordinator | Ing. Jakub Kružík, Ph.D. |
Subject syllabus
Outline:
1. Numerical libraries overview
2. Basic operations with parallel objects in PETSc - vectors, matrices, index sets
3. Direct solvers and their parallelization - multifrontal vs. supernodal methods
4. Iterative solvers in PETSc - KSP
5. Spectral analysis using SLEPc
6. Preconditioning
1. Numerical libraries overview
2. Basic operations with parallel objects in PETSc - vectors, matrices, index sets
3. Direct solvers and their parallelization - multifrontal vs. supernodal methods
4. Iterative solvers in PETSc - KSP
5. Spectral analysis using SLEPc
6. Preconditioning
Literature
Advised literature
N. J. Higham, Accuracy and Stability of Numerical Algorithms, 2nd. Society for Industrial and Applied Mathematics, 2002.
G. H. Golub, C. F. Van Loan, Matrix computations, 4th. Johns Hopkins University Press, 2013.
G. H. Golub, C. F. Van Loan, Matrix computations, 4th. Johns Hopkins University Press, 2013.