Oct 17, 2019   2:11 a.m. Hedviga

# Course syllabus B1-NMLA - Numerical methods of linear algebra (FCE - SS 2019/2020)

Information sheet          ECTS          Syllabus

Slovak          English

University: Slovak University of Technology in Bratislava
Faculty: Faculty of Civil Engineering
Course unit code: B1-NMLA
Course unit title: Numerical methods of linear algebra
Mode of delivery, planned learning activities and teaching methods:
 lecture 3 hours weekly (on-site method) seminar 2 hours weekly (on-site method)

Credits allocated: 4

Recommended semester/trimester: Mathematical and Computational Modeling - bachelor (compulsory), 6. semester
Level of study: 1.
Prerequisites for registration: none

Assesment methods:
Correctly elaborated all the assignments (programs in C language).
Obtaining at least 49 points on the exam.

Learning outcomes of the course unit:
Students will learn modern algorithms for solving the linear systems of equations, both direct and basic iterative methods as well as preconditioned iterative methods based on the theory of Krylov subspaces. They will also obtain knowledge of numerical methods to determine eigenvalues ​​and eigenvectors of matrices, and generalized solutions of singular systems of equations.

Course contents:
- Displaying of numbers in the computer and arithmetic properties of floating-point, conditionality of tasks, stability algorithms.
- Direct methods for solving systems of linear equations - tridiagonal solver, Gaussian elimination, QR, LU and Cholesky decomposition.
- Iterative methods for solving systems of linear equations - Jacobi, Gauss-Seidel, SOR method.
- The conjugate gradient method and other methods based on Krylov subspaces.
- Preconditioning.
- Numerical methods for determining the eigenvalues ​​and eigenvectors of matrices.

Basic:
 OKŠA, G. Úvod do numerických metód lineárnej algebry. Bratislava : STU v Bratislave, 2009. 106 p. ISBN 978-80-227-3055-6.

Language of instruction: slovak or english

Notes:

Courses evaluation:
Assessed students in total: 29

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37,9 %24,1 %34,5 %3,5 %0 %0 %
Name of lecturer(s): doc. Ing. Gabriel Okša, PhD. (examiner, instructor, lecturer, person responsible for course) - slovak, english

Last modification: 16. 4. 2019
Supervisor: doc. Ing. Gabriel Okša, PhD. and programme supervisor

Last modification made by Ing. Peter Korčák on 04/16/2019.

 Type of output: PDF output (PDF)Document RTF (RTF)XML format for IS (XML IL)