Title :
Matrix completion problems in multidimensional systems
Author :
Lawton, Wayne M. ; Lin, Zhiping
Author_Institution :
Dept. of Math., Nat. Univ. of Singapore, Singapore
Abstract :
A ring with identity is Hermite if every unimodular row vector over the ring can be completed to form a unimodular square matrix over the ring. This paper constructs examples and counter-examples of Hermite rings and formulates several open problems, which have potential applications in multidimensional systems
Keywords :
Hermitian matrices; multidimensional signal processing; multidimensional systems; polynomials; rational functions; Hermite rings; matrix completion problems; multidimensional systems; open problems; unimodular row vector; unimodular square matrix; Algebra; Laboratories; Mathematics; Modules (abstract algebra); Motion pictures; Multidimensional systems; Polynomials;
Conference_Titel :
Circuits and Systems, 1999. ISCAS '99. Proceedings of the 1999 IEEE International Symposium on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-5471-0
DOI :
10.1109/ISCAS.1999.777507
