A study on the regularized Least Squares Problem

Postgraduate Thesis uoadl:2815696 174 Read counter

Unit:
Κατεύθυνση Εφαρμοσμένα Μαθηματικά
Library of the School of Science
Deposit date:
2018-11-01
Year:
2018
Author:
Papadimitraki Maria
Supervisors info:
Μαριλένα Μητρούλη, Καθηγήτρια, Μαθηματικό, ΕΚΠΑ
Original Title:
Μελέτη του Προβλήματος των κανονικοποιημένων Ελαχίστων Τετραγώνων
Languages:
Greek
Translated title:
A study on the regularized Least Squares Problem
Summary:
The purpose of this Thesis is the presentation of the Least Squares’ Problem and the investigation of the cases where the problem needs regularization. For this reason, in the first part of the Thesis, some Mathematical tools required for the Least Squares’ Problem’s solution are presented, as well a brief analysis on a Linear System’s condition. In addition, some of the basic regularization methods are explained. In conclusion, several error estimates for the Linear System’s solution are developed.
Main subject category:
Science
Keywords:
least squares problem, condition number, rank deficient, ill posed, error estimates, TSVD, Tikhonov regularization
Index:
Yes
Number of index pages:
2
Contains images:
Yes
Number of references:
18
Number of pages:
85

Διπλωματική Μ. Παπαδημητράκη.pdf
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