NATIONAL BIBLIOGRAPHY NUMBER
Number
T25938
LANGUAGE OF THE ITEM
.Language of Text, Soundtrack etc
انگلیسی
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
A Single-step Iteration Method for Non Hermitian Positive Definite Linear Systems
General Material Designation
Dissertation
First Statement of Responsibility
Wrya Akram Ahmed
.PUBLICATION, DISTRIBUTION, ETC
Name of Publisher, Distributor, etc.
Mathematical Sciences
Date of Publication, Distribution, etc.
1400
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
70p.
Other Physical Details
cd
DISSERTATION (THESIS) NOTE
Dissertation or thesis details and type of degree
Master's
Discipline of degree
Numerical Analysis
Date of degree
1400/11/06
Body granting the degree
Tabriz
SUMMARY OR ABSTRACT
Text of Note
An efficient single-step iteration method is presented for solving the large sparse nonHermitian positive definite linear systems. We theoretically prove that this method converges to the unique solution of the system of linear equations under suitable restrictions. Moreover, we derive an upper bound for the spectral radius of the new iteration matrix. Furthermore, we consider acceleration of the new iteration by Krylov subspace methods and some special properties of the new preconditioned matrix are proposed. Numerical experiments on a few model problems are presented to further examine the effectiveness of our new method
Text of Note
در این پایان نامه، برای حل دستگاه معادلات خطی ناهرمیتی، معین مثبت، اسپارس با بعد بزرگ ، روش تکرار تک-مرحله ای اراِئه شده است. همچنین قضایای همگرایی برای روش جدید بررسی شده و کران بالایی برای شعاع طیفی روش فوق ارائه شده است و برای شتاب دادن به روش جدید از بعضی روشهای فضای کرایلوف استفاده است. کارایی و برتری روش فوق در مقایسه با روش های قبلی با مثالهای عددی بررسی شده است1
OTHER VARIANT TITLES
Variant Title
روش تکرار تک-مرحله ای برای حل دستگاه معادلات خطی ناهرمیتی معین مثبت
UNCONTROLLED SUBJECT TERMS
Subject Term
Non-Hermitian matrix, Convergence theory, Matrix splitting, Preconditioner; Numerical experiment
Subject Term
ماتریس ناهرمیتی، قضیه همگرایی، شکافت ماتریس، پیش حالت ساز، نتایج عددی
PERSONAL NAME - PRIMARY RESPONSIBILITY
Entry Element
Akram Ahmed ,
Part of Name Other than Entry Element
Wrya
Relator Code
Producer
PERSONAL NAME - SECONDARY RESPONSIBILITY
Entry Element
Ebadi
Entry Element
Javidi
Part of Name Other than Entry Element
Godard
Part of Name Other than Entry Element
Mohammad
Relator Code
Thesis advisor
Relator Code
Consulting advisor
CORPORATE BODY NAME - SECONDARY RESPONSIBILITY
Entry Element
Tabriz
ORIGINATING SOURCE
Country
ایران
Agency
Central library of tabriz
Date of Transaction
20220312
LOCATION AND CALL NUMBER
Call Number
ارشد پایاننامه QA37/2 .A56 1400
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب e
TL
276903
a
Y
