Singüler lineer denklem sistemlerinin hassasiyeti
| dc.contributor.advisor | Aydın, Kemal | |
| dc.contributor.author | Bayrakci, Serdar | |
| dc.date.accessioned | 2020-12-29T17:31:12Z | |
| dc.date.available | 2020-12-29T17:31:12Z | |
| dc.date.submitted | 2004 | |
| dc.date.issued | 2018-08-06 | |
| dc.identifier.uri | https://acikbilim.yok.gov.tr/handle/20.500.12812/466538 | |
| dc.description.abstract | ÖZET Yüksek Lisans Tezi SINGULER LİNEER DENKLEM SİSTEMLERİNİN HASSASİYETİ Serdar BAYRAKÇI Selçuk Üniversitesi Fen Bilimleri Enstitüsü Matematik Anabilim Dalı Danışman: Yrd. Doç. Dr. Kemal AYDIN 2004, 51 sayfa Jüri: Prof. Dr. Ali SİNAN Yrd. Doç. Dr. Ali ÖZDEMİR Yrd. Doç. Dr. Kemal AYDIN Bu çalışmada Ax = b lineer denklem sistemlerinin çözümlerini inceleyerek pratik singüler ve pratik singular olmayan matris kavramım tartıştık. Uygun singüler lineer denklem sisteminin ve uygun dikdörtgensel lineer denklem sisteminin çözümlerini inceledik. Bu tür lineer denklem sisteminin çözümleri için matrislerin genelleştirilmiş ters kavramım tartıştık. Genellikle literatürde Moore-Penrose tersi ile genelleştirilmiş ters kavramlannm aynı gibi değerlendirilmesine karşın bu kavramların önemli farkları olduğunu gördük. Bu farklılığın lineer denklem sistemlerinin hassasiyeti kavramına da etkilerini inceledik. Ayrıca çalışmayı nümerik örneklerle de değerlendirdik. Anahtar Kelimeler: Singüler Lineer Denklem Sistemi, Genelleştirilmiş Ters, Moore-Penrose Tersi, Hassasiyet Problemi iii | |
| dc.description.abstract | ABSTRACT Master Thesis PERTURBATION BOUND OF SINGULAR LINEAR SYSTEMS Serdar BAYRAKÇI Selçuk University Graduate School of Natural and Applied Sciences Department of Mathematics Supervisor: Assis. Prof. Dr. Kemal AYDIN 2004, 51 pages Jury: Prof. Dr. Ali SİNAN Assis. Prof. Dr. Ali ÖZDEMİR Assis. Prof. Dr. Kemal AYDIN In this study, we have studied solutions oîAx-b lineer equational system and discussed concepts of practically singular and practically nonsingular matrix. We either have investigated solutions of accurate singular lineer equational systems, accurate square lineer equational systems and have discussed concept of generalized inverse of matrixes for these kind. Despite concepts of Moore-Penrose inverse and generalized inverse are generally realized as the same phenomenons in literature, we have investigated that these concepts have significant differences. Besides, We have investigated effects of the related differences on sensitivity of lineer equational systems and evaluated the study by giving numerical examples. Key Words: Lineer Singular Equational System, Generalized Inverse, Moore-Penrose inverse, Problem of Sensitivity iv | en_US |
| dc.language | Turkish | |
| dc.language.iso | tr | |
| dc.rights | info:eu-repo/semantics/embargoedAccess | |
| dc.rights | Attribution 4.0 United States | tr_TR |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.subject | Matematik | tr_TR |
| dc.subject | Mathematics | en_US |
| dc.title | Singüler lineer denklem sistemlerinin hassasiyeti | |
| dc.title.alternative | Perturbation bound of singular linear systems | |
| dc.type | masterThesis | |
| dc.date.updated | 2018-08-06 | |
| dc.contributor.department | Matematik Anabilim Dalı | |
| dc.identifier.yokid | 171557 | |
| dc.publisher.institute | Fen Bilimleri Enstitüsü | |
| dc.publisher.university | SELÇUK ÜNİVERSİTESİ | |
| dc.identifier.thesisid | 153925 | |
| dc.description.pages | 58 | |
| dc.publisher.discipline | Diğer |
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