Exploiting permutation representations in solving systems of linear equations
Other Title(s)
استغلال تماثيل التبديل في حل أنظمة المعادلات الخطية
Dissertant
Thesis advisor
University
Al albayt University
Faculty
Faculty of Sciences
Department
Department of Mathematics
University Country
Jordan
Degree
Master
Degree Date
2009
English Abstract
In this thesis we will introduce the concepts of the permutation representation of a finite group G and the G -equivariance of an invertible linear operator on a complex vector space with respect to G .
Then we will use these concepts for the cyclic group Z2 and the symmetry reduction method to reduce the computational cost of solving a Laplace equation numerically.
Main Subjects
No. of Pages
72
Table of Contents
Abstract.
Table of contents.
Chapter one : Preliminaries.
Chapter two : Representations of finite groups.
Chapter three : Numerical exploitation of symmetry.
References.
American Psychological Association (APA)
Kaabneh, Ahmad Abd al-Fattah. (2009). Exploiting permutation representations in solving systems of linear equations. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-302858
Modern Language Association (MLA)
Kaabneh, Ahmad Abd al-Fattah. Exploiting permutation representations in solving systems of linear equations. (Master's theses Theses and Dissertations Master). Al albayt University. (2009).
https://search.emarefa.net/detail/BIM-302858
American Medical Association (AMA)
Kaabneh, Ahmad Abd al-Fattah. (2009). Exploiting permutation representations in solving systems of linear equations. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-302858
Language
English
Data Type
Arab Theses
Record ID
BIM-302858
