On some linear combinations of commuting involutive and idempotent matrices

DOI10.1016/j.amc.2014.01.110zbMath1334.15097OpenAlexW2074043242MaRDI QIDQ272549

Marina Tošić

Publication date: 20 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.01.110

zbMATH Keywords

linear combinationidempotent matrix\(k\)-potent matrixinvolutive matrix

Mathematics Subject Classification ID

Special matrices (15B99)

Related Items (4)

On the spectrum of linear combinations of finitely many diagonalizable matrices that mutually commute ⋮ Unnamed Item ⋮ Idempotents in triangular matrix rings ⋮ On involutiveness of linear combinations of a quadratic matrix and an arbitrary matrix

Cites Work

• 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
• Idempotency of linear combinations of an idempotent matrix and a \(t\)-potent matrix that commute

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