항켈 행렬과 행렬식

개요

• 다음과 같은 꼴의 \(n\times n\) 정사각행렬을 항켈 행렬이라 한다

\[ A = \left( \begin{array}{cccccc} a_{0} & a_{1} & a_{2} & \ldots & \ldots &a_{n-1} \\ a_{1} & a_2 & & & &\vdots \\ a_{2} & & & & & \vdots \\ \vdots & & & & & a_{2n-4}\\ \vdots & & & & a_{2n-4}& a_{2n-3} \\ a_{n-1} & \ldots & \ldots & a_{2n-4} & a_{2n-3} & a_{2n-2} \end{array} \right) \]

• 예를 들면,

\[ \left( \begin{array}{ccccc} 1 & 2 & 3 & 4 & 5 \\ 2 & 3 & 4 & 5 & 6 \\ 3 & 4 & 5 & 6 & 7 \\ 4 & 5 & 6 & 7 & 8 \\ 5 & 6 & 7 & 8 & 9 \\ \end{array} \right) \]

관련된 항목들

• 항켈 변환

매스매티카 파일 및 계산 리소스

• https://drive.google.com/file/d/0B8XXo8Tve1cxMW42bnBWSUpiR3c/view
• http://mathworld.wolfram.com/HankelMatrix.html
• http://acm.timus.ru/problem.aspx?num=1625

사전 형태의 자료

• http://en.wikipedia.org/wiki/Hankel_matrix

리뷰, 에세이, 강의노트

• Peller, Vladimir V. "An excursion into the theory of Hankel operators." Holomorphic spaces (Berkeley, CA, 1995), Math. Sci. Res. Inst. Publ 33 (1998): 65-120.

관련논문

• Estelle L. Basor, Torsten Ehrhardt, Asymptotic formulas for determinants of a special class of Toeplitz + Hankel matrices, http://arxiv.org/abs/1603.00506v1
• Fu, Hao, and Guo-Niu Han. “Computer Assisted Proof for Apwenian Sequences Related to Hankel Determinants.” arXiv:1601.04370 [math], January 17, 2016. http://arxiv.org/abs/1601.04370.
• Chang, Xiang-Ke, Xing-Biao Hu, and Guoce Xin. “Hankel Determinant Solutions to Several Discrete Integrable Systems and the Laurent Property.” arXiv:1501.02879 [math-Ph, Physics:nlin], January 12, 2015. http://arxiv.org/abs/1501.02879.

메타데이터

위키데이터

• ID : Q1575637

Spacy 패턴 목록

• [{'LOWER': 'hankel'}, {'LEMMA': 'matrix'}]
• [{'LOWER': 'catalecticant'}, {'LEMMA': 'matrix'}]