The polar-like decomposition and its applications

DOI10.2298/FIL1912977WzbMath1499.15045OpenAlexW3009012356MaRDI QIDQ5864502

Hongxing Wang, Xiaoji Liu

Publication date: 7 June 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1912977w

zbMATH Keywords

polar decompositionLöwner partial orderGL partial orderpolar-like decompositionWL partial order

Mathematics Subject Classification ID

Factorization of matrices (15A23) Matrix equations and identities (15A24)

Related Items

Some characterizations and properties of a new partial order ⋮ A new partial order based on core partial order and star partial order

Cites Work

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• Core-EP decomposition and its applications
• A perturbation bound for the generalized polar decomposition
• A new polar decomposition in a scalar product space
• On the Löwner, minus, and star partial orderings of nonnegative definite matrices and their squares
• Partial orderings, preorderings, and the polar decomposition of matrices
• Simultaneous polar decomposition of rectangular complex matrices
• Generalized inverses: theory and computations
• Some new perturbation bounds for the generalized polar decomposition
• Generalized inverses. Theory and applications.
• On partial orderings on the set of rectangular matrices
• Skew \(\phi\) polar decompositions
• On the invertibility of the operatorA-XB
• The Canonical Generalized Polar Decomposition
• Core inverse of matrices
• Weighted Polar Decomposition and WGL Partial Ordering of Rectangular Complex Matrices
• Natural structures on semigroups with involution
• A partial order on the set of complex matrices with index one