New matrix partial order based on spectrally orthogonal matrix decomposition

DOI10.1080/03081087.2015.1041365zbMath1375.15014OpenAlexW1638746721MaRDI QIDQ2787601

Alicia Herrero, Alexander E. Guterman, Nestor Janier Thome

Publication date: 4 March 2016

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10251/87294

zbMATH Keywords

spectrumsharp orderminus orderspectrally orthogonal matrix decomposition

Mathematics Subject Classification ID

Partial orders, general (06A06) Theory of matrix inversion and generalized inverses (15A09) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (5)

Reverse order laws for the generalized strong Drazin inverses ⋮ A partial order on the set of complex matrices with index one ⋮ Weighted quaternion core-EP, DMP, MPD, and CMP inverses and their determinantal representations ⋮ Determinantal representations of the quaternion core inverse and its generalizations ⋮ Determinantal representations of the core inverse and its generalizations with applications

Cites Work

• On a generalized core inverse
• Weighted binary relations involving the Drazin inverse
• The star partial order and the eigenprojection at 0 on EP matrices
• On group inverses and the sharp order
• Space pre-order and minus partial order for operators on Banach spaces
• On a partial order defined by the weighted Moore-Penrose inverse
• Further properties on the core partial order and other matrix partial orders
• Core inverse of matrices
• The natural partial order on a regular semigroup
• The diamond partial order in rings

This page was built for publication: New matrix partial order based on spectrally orthogonal matrix decomposition