2000 Fiscal Year Final Research Report Summary
A DEVELOPMENT OF THE CRITERION METHOD FOR GENERALIZED DIAGONALLY DOMINANT MATRICES AND A STUDY OF THE ITERATIVE METHOD FOR PARALLEL PROCESSING
| Project/Area Number |
11640144
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
|
|---|
| Research Institution | OKAYAMA UNIVERSITY OF SCIENCE |
|---|
Principal Investigator |
USUI Masataka OKAYAMA UNIVERSITY OF SCIENCE, FACULTY OF INFORMATICS, ASSIST.PRO, 総合情報学部, 助教授 (40068888)
|
|---|
| Co-Investigator(Kenkyū-buntansha) |
HIRANO Hiroyuki OKAYAMA UNIVERSITY OF SCIENCE, FACULTY OF ENGINEERING, LECTURER, 工学部, 講師 (60264115)
OKAMOTO Naotaka OKAYAMA UNIVERSITY OF SCIENCE, FACULTY OF ENGINEERING, PROFESSOR, 工学部, 教授 (00068909)
NIKI Hiroshi OKAYAMA UNIVERSITY OF SCIENCE, FACULTY OF INFORMATICS, PROFESSOR, 総合情報学部, 教授 (30068879)
KOHNO Toshiyuki OKAYAMA UNIVERSITY OF SCIENCE, FACULTY OF INFORMATICS, ASSISTANT, 総合情報学部, 助手 (90309534)
|
|---|
| Project Period (FY) |
1999 – 2000
|
| Keywords | ITERATIVE CRITERION / ITERATIVE METHOD / H-MATRIX / GENERALIZED DIAGONALLY DOMINANT MATRIX (GDDM) / GAUSS-SEIDEL TYPE / DIRECT TYPE |
|---|
| Research Abstract |
The numerical computation is carried out to solve the linear systems Ax=b by using the iterative method. In this project we presented new criterion and showed that our criterion is simpler than other's with some numerical experiments. Further we tested the effectivity of the proposed method, and we obtained that our method is effective in solving the linear systems. Thus, we developed a simple method for judging II-matrix.
In 1999th, we improved the iteration type as the criterion of the Generalized Diagonally Dominant Mtrix (G.D.D.M.). Then, We are adapted this method to some examples, and obtained better results.
In 2000th, we are adapted this criterion to some practical examples , and furthermore we confirmed the availability of this method. So we became a ware of an own peculiarity of G.D.D.M.Therefore we test to develop the direct criterion for some II-matrices and succeeded in developping the method less than Yiming Gao, s.
Coming our subject is testing some numerical experiment for much more H-matrices and to prove the mathematical validity.
|
