컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0266 |
|---|---|
| 분류(Section) | Poster Session |
| 분과(Session) | (AM) Applied Mathematics(including AI, Data Science) (AM) |
| 발표시간(Time) | 19th-B-14:00 -- 14:30 |
| 영문제목 (Title(Eng.)) |
The explicit inverse of a quasi-tridiagonal matrix |
| 저자(Author(s)) |
Su Lae Nwe1, Philsu Kim1, Soyoon Bak1, Sangbeom Park1 Kyungpook National University1 |
| 초록본문(Abstract) | In this presentation, we deal with the quasi-tridiagonal systems of linear equations induced by solving partial differential equations. The standard LU decomposition is a commonly used method for solving such a system of equations. This presentation aims to introduce a novel strategy for solving the quasi-tridiagonal system of linear equations that provides more efficient and less time-consuming results compared to the standard LU decomposition method. To achieve this, we start by decomposing the quasi-tridiagonal matrix into the tridiagonal matrix and rank 2 correction term and then apply the Sherman-Morrison-Woodbury to get its explicit inverse. Second, we verify the invertibility of the explicit formulation of the quasi-tridiagonal. Finally, we apply the Thomas algorithm to the tridiagonal matrix to obtain the numerical results. |
| 분류기호 (MSC number(s)) |
65F05,65H10 |
| 키워드(Keyword(s)) | Quasi-tridiagonal system, inverse matrix, Sherman-Morrison-Woodbury |
| 강연 형태 (Language of Session (Talk)) |
English |