The generalized quadraticity of linear combinations of two commuting quadratic matrices

DOI10.1080/03081087.2015.1114985zbMath1346.15017OpenAlexW2222231220MaRDI QIDQ5741239

Mahmut Uç, Halim Özdemir, Tuǧba Petik

Publication date: 22 July 2016

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

Full work available at URL: https://doi.org/10.1080/03081087.2015.1114985

zbMATH Keywords

linear combinationidempotent matrixquadratic matrixgeneralized quadratic matrix

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Commutativity of matrices (15A27) Linear equations (linear algebraic aspects) (15A06)

Related Items (3)

Notes on the quadraticity of linear combinations of a cubic matrix and a quadratic matrix that commute ⋮ On characterization of tripotent matrices in triangular matrix rings ⋮ On involutiveness of linear combinations of a quadratic matrix and an arbitrary matrix

Cites Work

• Tripotency of a linear combination of two involutory matrices and a tripotent matrix that mutually commute
• The spectrum of matrices depending on two idempotents
• On idempotency of linear combinations of idempotent matrices
• Idempotency of linear combinations of three idempotent matrices, two of which are commuting
• 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
• Generalized quadraticity of linear combination of two generalized quadratic matrices
• Idempotency of linear combinations of an idempotent matrix and a t -potent matrix that do not commute
• On the quadraticity of linear combinations of quadratic matrices

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