On polynomial Schur's matrix

Chih Nung Hsu, Ting Ting Nan*

*此作品的通信作者

研究成果: 雜誌貢獻期刊論文同行評審

摘要

Classical Schur's matrix is a different evaluation, provided by Schur, of the quadratic Gaussian sum from Gauss. The advanced information was studied by L. Carlitz who determined its eigenvalues, and by P. Morton who determined its eigenvectors. In this paper, we generalize the classical Schur's matrix to the case in polynomial rings over finite fields, and what is more, we give explicit formulas for the determinant, inverse matrix, eigenvalues, multiplicity and eigenvectors with respect to each eigenvalue of the polynomial Schur's matrix.

原文英語
頁(從 - 到)652-660
頁數9
期刊Finite Fields and their Applications
15
發行號6
DOIs
出版狀態已發佈 - 2009 十二月

ASJC Scopus subject areas

  • 理論電腦科學
  • 代數與數理論
  • 工程 (全部)
  • 應用數學

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