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Fundamentals of Numerical Linear Algebra - NMMB203

Title:	Základy numerické lineární algebry
Guaranteed by:	Department of Algebra (32-KA)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2016 to 2017
Semester:	winter
E-Credits:	4
Hours per week, examination:	winter s.:2/1, C+Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	taught
Language:	Czech
Teaching methods:	full-time
Teaching methods:	full-time
Is provided by:	NMNM201

Guarantor:	prof. RNDr. Miloslav Feistauer, DrSc., dr. h. c. prof. Ing. Miroslav Tůma, CSc.
Class:	M Bc. MMIB > Povinné M Bc. MMIT > Povinné
Classification:	Mathematics > Numerical Analysis

Opinion survey results Examination dates Schedule Noticeboard

Annotation -

Last update: T_KA (29.04.2015)

The first course of numerical linear algebra for students of MMIB.

Aim of the course -

Last update: prof. RNDr. Vít Dolejší, Ph.D., DSc. (08.06.2015)

To give a basic knowledge in numerical linear algebra.

Literature -

Last update: prof. Ing. Miroslav Tůma, CSc. (09.10.2017)

Tebbens, Hnětynková, Plešinger, Strakoš, Tichý: Analýza metod pro maticové výpočty - Základní metody, Skriptum MFF UK

Anne Greenbaum and Timothy P. Chartier: Numerical Methods: Design, Analysis and Computer Implementation of Algorithms, Princeton Universtity Press, 2012

A. Quarteroni and R. Sacco and F. Saleri: Numerical mathematics, Springer-Verlag, 2000

D. S. Watkins: Fundamentals of Matrix Computations, Willey Interscience, New Yourk, 2010 (third edition)

Requirements to the exam -

Last update: prof. RNDr. Vít Dolejší, Ph.D., DSc. (08.06.2015)

Examination according to the syllabus.

Syllabus -

Last update: prof. Ing. Miroslav Tůma, CSc. (09.10.2017)

Numerical methods of linear algebra. LU decomposition, elimination method, matrix iterative methods, power method .

Interpolation of functions. Lagrange and Hermite polynomials. Spline functions. Least-square approximation.

Qudrature formulas. Gaussian and Newton-Cotes formulas.

Solution of Nonlinear Equations.