Open AccessThe polar-like decomposition and its applications
Author(s) -
Hongxing Wang,
Xiaoji Liu
Publication year - 2019
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1912977w
Subject(s) - mathematics , decomposition , polar decomposition , polar , extension (predicate logic) , order (exchange) , set (abstract data type) , partially ordered set , decomposition theorem , pure mathematics , combinatorics , computer science , physics , chemistry , organic chemistry , finance , astronomy , economics , programming language
In this paper, we present a unique polar-like decomposition theorem for rectangular complex matrices. Applying this decomposition, we define on the set of rectangular matrices a new partial ordering called WL(weak L?wner) partial order ? an extension of the GL(generalized L?wner) partial order, and derive some basic properties of the new partial ordering.