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Last update: Pátková Vlasta (08.06.2018)
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Last update: Pátková Vlasta (08.06.2018)
Students' skills They will be familiar with problems of linear algebra, especially they will know the properties and calculation of own numbers and own vectors They will be able to choose the appropriate method for solving linear system equations They will know the principles of conditionality and stability of systems of linear algebraic equations. |
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Last update: Pátková Vlasta (08.06.2018)
R : G. Strang: Differential Equations and Linear Algebra. Wellesley-Cambridge, 2014.Z: Cauley R.A.: Corrosion of Ceramics. Marcel Dekker, Inc. New York 1995; R: G. H. Golub, C. F. Van Loan: Matrix Computations, 3-rd ed., The John Hopkins University Press, 2012. A : R. A. Horn and C. R. Johnson, Matrix analysis, Cambridge University Press, Cambridge, 1992. A: L.N. Trefethen, D. Bau III: Numerical Linear Algebra. SIAM Philadelphia, 1997 |
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Last update: Pátková Vlasta (08.06.2018)
http://people.sc.fsu.edu/~jburkardt/classes/nla_2015/numerical_linear_algebra.pdf |
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Last update: Pátková Vlasta (08.06.2018)
Lectures and seminars |
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Last update: Pátková Vlasta (08.06.2018)
Project to solve a more complex linear algebra problem. |
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Last update: Pátková Vlasta (08.06.2018)
1. Eigenvalues, Singular Values, The Singular Value Decomposition. 2. QR Factorization. 3. Gram-Schmidt Orthogonalization. 4. Householder Triangularization. 5. Least Squares Problems. 6. Conditioning and Condition Numbers, Stability. 7. Stability of Gaussian Elimination. Pivoting. 8. Cholesky Factorization. 9. Eigenvalue Problems. 10. Rayleigh Quotient, Inverse Iteration. 11. QR Algorithm. 12. The Arnoldi Iteration. 13. Conjugate Gradients. 14. Preconditioning. |
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Last update: Borská Lucie RNDr. Ph.D. (16.09.2019)
none |
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Last update: Pátková Vlasta (08.06.2018)
Preparation and defense of an individual project combined with an oral exam |