M5121 Numerical Methods I

Faculty of Science
Autumn 2001
Extent and Intensity
2/2/0. 4 credit(s). Type of Completion: z (credit).
Teacher(s)
prof. RNDr. Ivanka Horová, CSc. (lecturer)
Guaranteed by
prof. RNDr. Ivanka Horová, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: prof. RNDr. Ivanka Horová, CSc.
Prerequisites (in Czech)
M2100 Mathematical Analysis II && M2110 Linear algebra 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
Course objectives
Error analysis.

Solution of non-linear equations - development of iterative methods, general convergence theorems, Newton's method, secant method, regula falsi method, Steffensen's method, Newton's methods for systems of equations.

Roots of polynomials - application of Newton's method, Sturm sequences Bairstow's method.

Direct methods for solving systems of linear equations - Gaussian elimination, triangular decomposition of a matrix, Cholesky decomposition, Roundoff-error analysis of Gaussian elimination.

Iterative methods for the solution of large systems of linear equations - general procedures for the construction of iterative methods, convergence theorems, Jacobi method, Gauss-Seidel method.
Literature
  • HOROVÁ, Ivana. Numerické metody. 1st ed. Brno: Masarykova univerzita, 1999, 230 pp. ISBN 80-210-2202-7. info
  • MÍKA, Stanislav. Numerické metody algebry. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1982, 169 s. info
  • MÍKA, Stanislav. Numerické metody algebry. 2. vyd. Praha: SNTL - Nakladatelství technické literatury, 1985, 169 s. URL info
  • PŘIKRYL, Petr. Numerické metody matematické analýzy. 1. vyd. Praha: Nakladatelství technické literatury, 1985, 187 s. URL info
  • VITÁSEK, Emil. Numerické metody. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1987, 512 s. URL info
  • VITÁSEK, Emil. Numerické metody. Praha: Státní nakladatelství technické literatury, 1987, 512 s. URL info
Assessment methods (in Czech)
Zkouška je ústní,během semestru se požaduje vypracování zápočtových příkladů.
Language of instruction
Czech
Further Comments
The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.
  • Enrolment Statistics (recent)
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