• DocumentCode
    341311
  • Title

    Matrix completion problems in multidimensional systems

  • Author

    Lawton, Wayne M. ; Lin, Zhiping

  • Author_Institution
    Dept. of Math., Nat. Univ. of Singapore, Singapore
  • Volume
    5
  • fYear
    1999
  • fDate
    1999
  • Firstpage
    45
  • 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;
  • fLanguage
    English
  • Publisher
    ieee
  • 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
  • Type

    conf

  • DOI
    10.1109/ISCAS.1999.777507
  • Filename
    777507