Householderjeva metoda za reševanje nelinearnih enačb : delo diplomskega seminarja

Žužek, Sara (author), Jaklič, Gašper (mentor)

V diplomskem delu obravnavam Householderjevo metodo za reševanje nelinearnih enačb. Opišem tudi nekatere druge iterativne metode kot so: navadna iteracija, Newtonova ali tangenta metoda, sekantna metoda. Metode med sabo tudi primerjam in vsaki izmed njih določim red konvergence. V programu Matlab sprogramiram nekatere izmed njih in jih uporabim na primerih.

• Language: Slovenian
• Keywords: Householderjeva metoda, red konvergence, iterativne metode
• Work type: Final seminar paper
• Typology: 2.11 - Undergraduate Thesis
• Organization: FMF - Faculty of Mathematics and Physics
• Year: 2025
• PID: 20.500.12556/RUL-169581
• UDC: 519.6
• COBISS.SI-ID: 238443523
• Publication date in RUL: 05.06.2025

Secondary language

• Language: English
• Title: Householder’s method for solving nonlinear equation

Abstract

In this thesis I address Householder method for solving nonlinear equations. I also describe some other iterative methods such as: fixed-point iteration, Newton’s or tangent method and the secant method. I also compare these methods with each other and for each of them I determine the convergence order. In Matlab, I implement some of them and apply them to various examples.

• Keywords: Householder method, convergence order, iterative methods