On involutiveness of linear combinations of a quadratic matrix and an arbitrary matrix

DOI10.15672/hujms.705784zbMath1488.15032OpenAlexW3173155414MaRDI QIDQ5859802

Nurgül Kalaycı, Murat Sarduvan

Publication date: 17 November 2021

Published in: Hacettepe Journal of Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15672/hujms.705784

zbMATH Keywords

linear combinationdiagonalizationquadratic matrixpartitioned matrixdirect sum of matrices

Mathematics Subject Classification ID

Matrix equations and identities (15A24)

Cites Work

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• On the spectra of some combinations of two generalized quadratic matrices
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• Involutiveness of linear combinations of a quadratic or tripotent matrix and an arbitrary matrix
• Generalized quadraticity of linear combination of two generalized quadratic matrices
• On the idempotency, involution and nilpotency of a linear combination of two matrices
• On the quadraticity of linear combinations of quadratic matrices
• The generalized quadraticity of linear combinations of two commuting quadratic matrices
• On idempotency of linear combinations of a quadratic or a cubic matrix and an arbitrary matrix

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