M7191 Numerical methods of linear algebra I

Faculty of Science
Autumn 2000
Extent and Intensity
2/1/0. 5 credit(s). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Miloslav Mikulík, CSc. (lecturer)
Guaranteed by
prof. RNDr. Ivanka Horová, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: doc. RNDr. Miloslav Mikulík, CSc.
Prerequisites (in Czech)
M6150 Linear Functional Analysis I && M5122 Numerical Methods II
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
  • Mathematics (programme PřF, M-MA, specialization Applied Mathematics)
  • Mathematics (programme PřF, N-MA, specialization Applied Mathematics)
Course objectives
Numerical methods for special systems of linear equations.
Numerical methods for finding eigenvalues and eigen vectors
Sparse matrices and their application to numerical solution of partial differential equations
Stability of algorithms and conditioning problems
Literature
  • DATTA, Biswa Nath. Numerical linear algebra and applications. Pacific Grove: Brooks/Cole publishing company, 1994, xxii, 680. ISBN 0-534-17466-3. info
  • SAMARSKIJ, Aleksandr Andrejevič and Jevgenij Sergejevič NIKOLAJEV. Metody rešenija setočnych uravnenij. Moskva: Nauka, 1978, 588 s. info
  • SAMARSKIJ, Aleksandr Andrejevič and Jevgenij Sergejevič NIKOLAJEV. Numerické řešení velkých řídkých soustav. Vyd. 1. Praha: Academia, 1984, 597 s. info
  • ATTEIA, Marc. Hilbertian kernels and spline functions. Amsterdam: North-Holland, 1992, 386 s. ISBN 0444897186. info
  • BOJANOV, B. D. Spline functions and multivariate interpolations. Dordrecht: Kluwer Academic Publishers, 1993, 276 s. ISBN 0-7923-2229-0. info
  • WAHBA, Grace. Spline models for observational data. 2nd print. Philadelphia: Society for Industrial and Applied Mathematics, 1992, 169 s. ISBN 0-89871-244-0. info
  • EUBANK, Randall L. Spline smoothing and nonparametric regression. New York: Marcel Dekker, 1988, 438 s. ISBN 0824778693. info
  • MIKULÍK, Miloslav. The algorithm for cubic spline of the prescribed shape for he given data. In Summer Schools MATLAB. Brno: Masarykova univerzita Brno, 1997, p. 133-138. ISBN 80-210-1517-9. info
  • MIKULÍK, Miloslav. The Algorithm for Cubic Spline of the Preseribed Shape for the Given Data. In Folia. Brno: Masarykova univerzita Brno, 1997, p. 133-138. ISBN 80-210-1517-9. info
Assessment methods (in Czech)
Zkouška ústní
Language of instruction
Czech
Further Comments
The course can also be completed outside the examination period.
The course is taught once in two years.
The course is taught: every week.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/sci/autumn2000/M7191