Hledání kořenů komplexních funkcí

Abstract

This thesis deals with the locating zeros of holomorfic functions. In the first part of thesis some concepts of complex analysis are mentioned, which will be frequently used in this thesis. Then, we devote to known theorems of complex analysis relating to zeros of holomorfic functions. From these theorems will be important the consequence of Residue theorem, but it will be shown in the second part of thesis. The first part of thesis also contains some proofs of Fundamental theorem of algebra. The second part of thesis describes methods for locating zeros of analytic functions - method of Newton sums and method based on formal orthogonal polynomials.