NATIONAL BIBLIOGRAPHY NUMBER
Number
T28404
LANGUAGE OF THE ITEM
.Language of Text, Soundtrack etc
انگلیسی
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Solving complex indefinite linear system using splitting methods
General Material Designation
Dissertation
First Statement of Responsibility
Mohammed Abbas Aljubori
.PUBLICATION, DISTRIBUTION, ETC
Name of Publisher, Distributor, etc.
Mathematical Sciences
Date of Publication, Distribution, etc.
1401
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
71p.
Other Physical Details
cd
DISSERTATION (THESIS) NOTE
Dissertation or thesis details and type of degree
M.S.
Discipline of degree
applied mathematics
Date of degree
1401/11/17
SUMMARY OR ABSTRACT
Text of Note
The MPNS method is a type of splitting methods that are described in this paper using the modified positive/negative-stable splitting (PNSS) of the coefficient matrix. The paper does not require that the Hermitian half of the linear symmetric complex system must be positive definite (PD) Hermitian in order to establish this class of splitting methods. Under the right circumstances, theoretical analysis demonstrates that the MPNS approach will unfailingly converge to the solution space. It is possible to get several advantageous characteristics of the associated MPNS-preconditioned matrix. The effectiveness of the MPNS approach as well as the MPNS preconditioner is demonstrated by a series of numerical tests that are given here.
Text of Note
ر این پایاننامه، یک روش برای حل دستگاه معادلات خطی مختلط ارایه شده است که در‌آن نیازی به معین مثبت بودن ماتریس ضرایب نیست، روش تکرای فوق، شکافت اصلاح شده مثبت پایدار‌نامنفی ( MNPS) نامیده می شود. برای افزایش سرعت همگرایی این روش، پیش حالت ساز MNPS را ارایه میدهیم و شرایط همگرایی روش را بیان می‌کنیم. در ادامه با نتایج عددی کارایی روش MNPS و پیش حالت ساز MNPS رانشان میدهیم.
OTHER VARIANT TITLES
Variant Title
حل دستگاه معادلات خطی مختلط نامعین با استفاده از روش‌های شکافت
UNCONTROLLED SUBJECT TERMS
Subject Term
Complex symmetric indefinite linear system, Complex symmetric matrix, Positive-stable splitting, Negative-stable splitting, Splitting.
Subject Term
ماتریس متقارن مختلط، شکافت، ماتریس مثبت پایدار، ماتریس منفی پایدار
PERSONAL NAME - PRIMARY RESPONSIBILITY
Entry Element
Abbas Aljubori,
Part of Name Other than Entry Element
Mohammed
Relator Code
Producer
PERSONAL NAME - SECONDARY RESPONSIBILITY
Entry Element
Ebadi,
Entry Element
Hojjati,
Part of Name Other than Entry Element
Ghodrat
Part of Name Other than Entry Element
Gholamreza
Relator Code
Thesis advisor
Relator Code
Consulting advisor
CORPORATE BODY NAME - SECONDARY RESPONSIBILITY
Entry Element
Tabriz
ORIGINATING SOURCE
Country
ایران
Agency
Central Library University of Tabriz
Date of Transaction
20230411
LOCATION AND CALL NUMBER
Call Number
ارشد پایاننامه QA37/2.A22 1401
ELECTRONIC LOCATION AND ACCESS
Electronic name
Mohammed Abbas Aljubori
Contact for access assistance
عبادی
e
TL
276903
a
Y
