An efficient SHSS iterative method for solving non-Hermitian linear systems
General Material Designation
Dissertation
First Statement of Responsibility
Murtada Hasan Abdulhusein
.PUBLICATION, DISTRIBUTION, ETC
Name of Publisher, Distributor, etc.
Mathematics Statistic and computer science
Date of Publication, Distribution, etc.
1402
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
74p.
Other Physical Details
cd.
DISSERTATION (THESIS) NOTE
Dissertation or thesis details and type of degree
M.S.
Discipline of degree
APPLIED MATHEMATICS – NUMERICAL ANALYSIS
Date of degree
1402/03/16
SUMMARY OR ABSTRACT
Text of Note
To solve the non-Hermitian positive definite (HPD) linear systems, we present a SHSS-SS iteration approach in this thesis based on the shift-splitting (SS) and single-step HSS (SHSS) methods. According to theoretical study, the SHSS-SS approach is convergent under proper conditions. There are reports of numerical tests that confirm the effectiveness of the SHSS-SS approach. The suggested SHSS-SS approach is superior than the SS-approach and the SHSS approach, according to numerical comparisons.
Text of Note
در این پایاننامه ، براساس روش تک ای HSS (SHSS) و روش شكافت-انتقال(SS) ، (بااستفاده از روش هاى SS، SHSSيک روش تكرارى SHSS-SS را براى حل دستگاه هاى خطى معين مثبت غير هرميتى پیشنهاد میکنیم تحليل نظرى نشان می دهد که روش SHSS-SS تحت شرایط مناسب همگرا است. كارآيى روش SHSS-SS بامثال هاى عددى گزارش مى شود که روش SHSS-SS نسبت به SHSS ، SS برتر است
OTHER VARIANT TITLES
Variant Title
یک روش تکرارىSHSS كارا براى حل دستكاه هاى خطى غير هرميتى