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Course, academic year 2018/2019
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Linear algebra III - NMAI072
Title in English: Lineární algebra III
Guaranteed by: Department of Applied Mathematics (32-KAM)
Faculty: Faculty of Mathematics and Physics
Actual: from 2018
Semester: summer
E-Credits: 3
Hours per week, examination: summer s.:2/0 Ex [hours/week]
Capacity: unlimited
Min. number of students: unlimited
State of the course: taught
Language: Czech
Teaching methods: full-time
Guarantor: doc. Mgr. Milan Hladík, Ph.D.
Class: Informatika Bc.
Classification: Informatics > External Subjects
Annotation -
Last update: (29.04.2013)
A continuation of linear algebra with focus on deeper results and complex applications. Understanding of subjects Linear Algebra 1 and 2 is expected.
Literature -
Last update: (29.04.2013)
  • J. W. Demmel - Applied Numerical Linear Algebra
  • G. Strang - Linear Algebra and Its Applications
  • L. Motl, M. Zahradník - Pěstujeme lineární algebru
  • J. Duintjer Tebbens, I. Hnětynková, M. Plešinger, Z. Strakoš, P. Tichý: Analýza metod pro maticové výpočty: Základní metody

Requirements to the exam - Czech
Last update: doc. Mgr. Milan Hladík, Ph.D. (06.10.2017)

Zkouška je ústní a požadavky odpovídají sylabu předmětu v rozsahu, který byl presentován na přednášce.

Syllabus -
Last update: (29.04.2013)

The Perron-Frobenius Theorem and its application to stochastic systems.

Singular value decomposition and its applications.

Iterative algorithms for solving linear systems and computing eigenvalues.

Tensors and their applications.

The Rayleigh's Quotients and the Finite Element Method.

The condition number and an introduction to numerical linear algebra.

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