On some linear combinations of hypergeneralized projectors

DOI10.1016/j.laa.2005.09.005zbMath1088.15026OpenAlexW1990007750MaRDI QIDQ819125

Jerzy K. Baksalary, Oskar Maria Baksalary, Jürgen Gross

Publication date: 22 March 2006

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

Full work available at URL: https://doi.org/10.1016/j.laa.2005.09.005

zbMATH Keywords

Moore-Penrose inverseEP matrixstar partial orderinghypergeneralized projectorquadripotent matrixstar orthogonality

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (4)

On linear combinations of two commuting hypergeneralized projectors ⋮ Properties of the combinations of commutative idempotents ⋮ Matrices \(A\) such that \(A^{s+1}R\) = \(RA^\ast\) with \(R^k = I\) ⋮ On the idempotency, involution and nilpotency of a linear combination of two matrices

Cites Work

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• On normal and EPr-matrices
• On some characterizations of the star partial ordering for matrices and rank subtractivity
• Relative Hermitian matrices
• Generalized and hypergeneralized projectors
• Some properties of matrix partial orderings
• Idempotency of linear combinations of two idempotent matrices
• On linear combinations of generalized projectors
• Further properties of generalized and hypergeneralized projectors
• Idempotency of linear combinations of an idempotent matrix and a \(t\)-potent matrix that commute
• Characterizations and linear combinations of \(k\)-generalized projectors
• Natural structures on semigroups with involution
• A note on the partial ordering of positive semi-definite matrices

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