Tripotency of a linear combination of two involutory matrices and a tripotent matrix that mutually commute

DOI10.1016/j.laa.2012.05.035zbMath1247.15013OpenAlexW2085120770MaRDI QIDQ448357

Chuang Xu, Run-Zhang Xu

Publication date: 6 September 2012

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

Full work available at URL: https://doi.org/10.1016/j.laa.2012.05.035

zbMATH Keywords

linear combinationcommutativityidempotent matrixinvolutory matrixpartitioned blockstripotent matrix

Mathematics Subject Classification ID

Commutativity of matrices (15A27)

Related Items (9)

Generalized quadraticity of linear combination of two generalized quadratic matrices ⋮ On characterization of tripotent matrices in triangular matrix rings ⋮ On the spectrum of linear combinations of finitely many diagonalizable matrices that mutually commute ⋮ The generalized quadraticity of linear combinations of two commuting quadratic matrices ⋮ On the quadraticity of linear combinations of quadratic matrices ⋮ Unnamed Item ⋮ On the idempotency, involution and nilpotency of a linear combination of two matrices ⋮ On involutiveness of linear combinations of a quadratic matrix and an arbitrary matrix ⋮ Corrigendum to: ``Tripotency of a linear combination of two involutory matrices and a tripotent matrix that mutually commute

Cites Work

• On idempotency of linear combinations of idempotent matrices
• On linear combinations of two tripotent, idempotent, and involutive matrices
• On idempotency and tripotency of linear combinations of two commuting tripotent matrices
• Idempotency of linear combinations of two idempotent matrices
• Idempotency of linear combinations of an idempotent matrix and a tripotent matrix
• A note on linear combinations of commuting tripotent matrices
• Idempotency of linear combinations of three idempotent matrices, two of which are disjoint
• Idempotency of linear combinations of an idempotent matrix and a \(t\)-potent matrix that commute
• Characterizations and linear combinations of \(k\)-generalized projectors
• A disjoint idempotent decomposition for linear combinations produced from two commutative tripotent matrices and its applications
• Idempotency of linear combinations of an idempotent matrix and a t -potent matrix that do not commute
• Matrix Analysis
• {k}-Group Periodic Matrices
• The Distribution of a Quadratic Form of Normal Random Variables
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