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Numerical linear algebra 2

Type of study	Bachelor
Language of instruction	English
Code	470-2211/02
Abbreviation	NLA2
Course title	Numerical linear algebra 2
Credits	2
Coordinating department	Department of Applied Mathematics
Course coordinator	Ing. Jakub Kružík, Ph.D.

Osnova předmětu

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

Povinná literatura

- G. H. Golub, C. F. Van Loan - Matrix computations. Johns Hopkins University Press, 2012.
- PETSc Users Manual, http://www.mcs.anl.gov/petsc/petsc-current/docs/manual.pdf

Doporučená literatura

- Y. Saad - Iterative methods for sparse linear systems. SIAM, 2003.

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