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Partial Orders Based on the CS Decomposition

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A new decomposition for square matrices is constructed by using two known matrix decompositions. A new characterization of the core-EP order is obtained by using this new matrix decomposition. We… Click to show full abstract

A new decomposition for square matrices is constructed by using two known matrix decompositions. A new characterization of the core-EP order is obtained by using this new matrix decomposition. We also use this matrix decomposition to investigate the minus, star, sharp and core partial orders in the setting of complex matrices.

Keywords: partial orders; based decomposition; decomposition; orders based

Journal Title: Ukrainian Mathematical Journal
Year Published: 2020

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