Open AccessPartial orders based on the CS decomposition
Author(s) -
Sanzhang Xu,
J. L. Chen,
Julio Benítez
Publication year - 2020
Publication title -
ukraïnsʹkij matematičnij žurnal
Language(s) - English
Resource type - Journals
ISSN - 1027-3190
DOI - 10.37863/umzh.v72i8.6025
Subject(s) - decomposition , matrix (chemical analysis) , mathematics , square matrix , order (exchange) , matrix decomposition , core (optical fiber) , characterization (materials science) , star (game theory) , combinatorics , computer science , symmetric matrix , physics , chemistry , materials science , mathematical analysis , nanotechnology , telecommunications , quantum mechanics , eigenvalues and eigenvectors , organic chemistry , finance , economics , chromatography
UDC 512.5A new decomposition for square matrices is given by using two known matrix decompositions, a new characterization of the core-EP order is obtained by using this new matrix decomposition. Also, we will use a matrix decomposition to investigate the minus, star, sharp and core partial orders in the setting of complex matrices.