Notes on \sl n-D Polynomial Matrix Factorizations

  • Authors:

  • Zhiping Lin

  • Affiliations:

  • School of Electrical and Electronic Engineering, Nanyang Technological University, Block S2, Nanyang Avenue, Singapore 639798

  • Venue:
  • Multidimensional Systems and Signal Processing
  • Year:
  • 1999

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Abstract

This paper discusses a relationship betweenthe prime factorizability of a normal full rank n-D( n2) polynomial matrix and its reduced minors.Two conjectures regarding the n-D polynomial matrixprime factorization problem are posed, and a partial solutionto one of the conjectures is provided. Another related open problemof factorizing an n-D polynomial matrix that isnot of normal full rank as a product of two n-Dpolynomial matrices of smaller size is also considered, and apartial solution to this problem is presented. An illustrativeexample is worked out in details.