컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0549 |
|---|---|
| 분류(Section) | Poster Session |
| 분과(Session) | Algebra / Representation Theory / Lie Theory (SS-02) |
| 영문제목 (Title(Eng.)) |
Geometric progression matrices and an application to the orthogonal polynomials |
| 저자(Author(s)) |
Gi-Sang Cheon1, Min-Ho Song1 Sungkyunkwan University1 |
| 초록본문(Abstract) | For a sequence $\left(p_{m}(x)\right)_{0\le m\le n}$ of polynomials $p_{m}(x)$ of degree $m$, we define $A=(p_{i}(j))_{0\le i,j\le n}$ to be a matrix of order $n+1$. A geometric progression matrix (GP-matrix) with ratio $r$ is an $(n+1)\times(n+1)$ matrix whose $i^{th}$ row is $n+1$ terms of an $i^{th}$ generalized geometric progression with ratio $r$. In this talk, we show that $A$ is a GP-matrix with ratio 1. Further, orthogonal polynomials $\left(p_{m}(x)\right)_{0\le m\le n}$ are explored in a connection of GP-matrices and Krylov matrices associated to the matrix $A=(p_{i}(j))_{0\le i,j\le n}$. |
| 분류기호 (MSC number(s)) |
15B99, 42C05 |
| 키워드(Keyword(s)) | GP-matrix, Krylov matrix, determinant, orthogonal polynomials |
| 강연 형태 (Language of Session (Talk)) |
English |