Ranked solutions of the matric equation A 1 X 1 = A 2 X 2

A. Duane Porter and Nick Mousouris

International Journal of Mathematics and Mathematical Sciences, 1980, vol. 3, 1-12

Abstract:

Let G F ( p z ) denote the finite field of p z elements. Let A 1 be s × m of rank r 1 and A 2 be s × n of rank r 2 with elements from G F ( p z ) . In this paper, formulas are given for finding the number of X 1 , X 2 over G F ( p z ) which satisfy the matric equation A 1 X 1 = A 2 X 2 , where X 1 is m × t of rank k 1 , and X 2 is n × t of rank k 2 . These results are then used to find the number of solutions X 1 , … , X n , Y 1 , … , Y m , m , n > 1 , of the matric equation A 1 X 1 … X n = A 2 Y 1 … Y m .

Date: 1980
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/3/421910.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/3/421910.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:421910

DOI: 10.1155/S016117128000021X

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().