M029 Numerical Methods II

Faculty of Informatics
Autumn 1996
Extent and Intensity
2/2. 4 credit(s). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium), z (credit).
Teacher(s)
prof. RNDr. Ivanka Horová, CSc. (lecturer)
Guaranteed by
Contact Person: prof. RNDr. Ivanka Horová, CSc.
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
Syllabus
  • 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.
Language of instruction
Czech
The course is also listed under the following terms Autumn 1997, Spring 1998, Autumn 1998, Autumn 1999, Autumn 2000, Spring 2002.
  • Enrolment Statistics (Autumn 1996, recent)
  • Permalink: https://is.muni.cz/course/fi/autumn1996/M029