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Title: Factorization of generalized γ-generating matrices

Journal Article · · Journal of Mathematical Sciences
 [1]
  1. Dragomanov National Pedagogical University (Ukraine)

The class of γ-generating matrices and its subclasses of regular and singular γ-generating matrices were introduced by D. Z. Arov in [8], where it was shown that every γ-generating matrix admits an essentially unique regular–singular factorization. The class of generalized γ-generating matrices was introduced in [14, 20]. In the present paper, subclasses of singular and regular generalized –generating matrices are introduced and studied. As the main result, a theorem of existence of the regular–singular factorization for a rational generalized γ-generating matrix is proved.

OSTI ID:
22773787
Journal Information:
Journal of Mathematical Sciences, Vol. 234, Issue 1; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); ISSN 1072-3374
Country of Publication:
United States
Language:
English