Numerical linear algebra 2
| Type of study | Bachelor |
|---|---|
| Language of instruction | Czech |
| Code | 470-2211/03 |
| 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. Floating-point arithmetic
2. Stability of numerical algorithms
3. Introduction to MPI
4. Introduction to parallel numerical libraries PETSc and SLEPc
5. Eigenvalues and eigenvectors in applications
6. Singular value decomposition and its applications
7. Orthogonalization and orthogonal bases
8. Direct solvers for systems of linear equations
9. Iterative solvers for systems of linear equations
1. Floating-point arithmetic
2. Stability of numerical algorithms
3. Introduction to MPI
4. Introduction to parallel numerical libraries PETSc and SLEPc
5. Eigenvalues and eigenvectors in applications
6. Singular value decomposition and its applications
7. Orthogonalization and orthogonal bases
8. Direct solvers for systems of linear equations
9. Iterative solvers for systems of linear equations
E-learning
Consultation online and electronic study materials at https://github.com/jkruzik/nla2
Literature
G. Strang, Linear Algebra and Its Applications, 4th. Cengage Learning, 2006.
PETSc Users Manual, https://petsc.org/release/manual/
PETSc Users Manual, https://petsc.org/release/manual/
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.