Eigenvalue Decomposition of Paley-Type Hadamard Matrices 


Vol. 43,  No. 6, pp. 902-910, Jun.  2018
10.7840/kics.2018.43.6.902


PDF
  Abstract

In this paper, we determine explicitly the eigenvalue decomposition of Paley-type Hadamard matrices of order pk+1 or 2(pk+1), where p is an odd prime and k is a positive integer. For this, we also determine those of Paley matrices of order pk+1 using those of Jacobsthal matrices of order pk. Some of these results directly applies to any cyclic-type Hadamard matrices. Those results are the first complete description of eigenvalue decompositions of Paley-type or cycic-type Hadamard matrices. All the eigenvector matrices we determined here turned out to be unitary matrices.

  Statistics
Cumulative Counts from November, 2022
Multiple requests among the same browser session are counted as one view. If you mouse over a chart, the values of data points will be shown.


  Cite this article

[IEEE Style]

M. K. Song and H. Song, "Eigenvalue Decomposition of Paley-Type Hadamard Matrices," The Journal of Korean Institute of Communications and Information Sciences, vol. 43, no. 6, pp. 902-910, 2018. DOI: 10.7840/kics.2018.43.6.902.

[ACM Style]

Min Kyu Song and Hong-Yeop Song. 2018. Eigenvalue Decomposition of Paley-Type Hadamard Matrices. The Journal of Korean Institute of Communications and Information Sciences, 43, 6, (2018), 902-910. DOI: 10.7840/kics.2018.43.6.902.

[KICS Style]

Min Kyu Song and Hong-Yeop Song, "Eigenvalue Decomposition of Paley-Type Hadamard Matrices," The Journal of Korean Institute of Communications and Information Sciences, vol. 43, no. 6, pp. 902-910, 6. 2018. (https://doi.org/10.7840/kics.2018.43.6.902)

Search
(IN TITLE, AUTHOR, ABSTRACT,KEYWORDS)

Advanced Search ▼

POPULAR KEYWORDS
(TOP 10 KEYWORDS)

Recent Publications
(LAST 3 YEARS)






pISSN : 1226 - 4717
eISSN : 2287 - 3880