A note on linear combinations of commuting tripotent matrices
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Publication:1881055
DOI10.1016/j.laa.2004.01.011zbMath1057.15018OpenAlexW1984819577MaRDI QIDQ1881055
Halim Özdemir, Jerzy K. Baksalary, Oskar Maria Baksalary
Publication date: 4 October 2004
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2004.01.011
Related Items (26)
Notes on the quadraticity of linear combinations of a cubic matrix and a quadratic matrix that commute ⋮ Generalized quadraticity of linear combination of two generalized quadratic matrices ⋮ On nonsingularity of combinations of three group invertible matrices and three tripotent matrices ⋮ Invertibility and stability of linear combinations ofm-potent operators ⋮ On characterization of tripotent matrices in triangular matrix rings ⋮ Expansion formulas for the inertias of Hermitian matrix polynomials and matrix pencils of orthogonal projectors ⋮ The Drazin inverse of the linear combinations of two idempotents in the Banach algebra ⋮ On invertibility of combinations of \(k\)-potent operators ⋮ The group involutory matrix of the combinations of two idempotent matrices ⋮ Tripotency of a linear combination of two involutory matrices and a tripotent matrix that mutually commute ⋮ Properties of the combinations of commutative idempotents ⋮ On linear combinations of two tripotent, idempotent, and involutive matrices ⋮ On the spectrum of linear combinations of finitely many diagonalizable matrices that mutually commute ⋮ On a disjoint idempotent decomposition for linear combinations produced from \(n\) commutative tripotent matrices ⋮ The generalized quadraticity of linear combinations of two commuting quadratic matrices ⋮ On the quadraticity of linear combinations of quadratic matrices ⋮ Unnamed Item ⋮ On idempotency and tripotency of linear combinations of two commuting tripotent matrices ⋮ The group inverse of the combinations of two idempotent matrices ⋮ Two universal similarity factorization equalities for commutative involutory and idempotent matrices and their applications ⋮ On the idempotency, involution and nilpotency of a linear combination of two matrices ⋮ On linear combinations of generalized involutive matrices ⋮ A disjoint idempotent decomposition for linear combinations produced from two commutative tripotent matrices and its applications ⋮ On nonsingularity of combinations of two group invertible matrices and two tripotent matrices ⋮ On nonsingularity and group inverse of linear combinations of generalized and hypergeneralized projectors ⋮ On idempotency of linear combinations of a quadratic or a cubic matrix and an arbitrary matrix
Cites Work
- 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 three idempotent matrices, two of which are disjoint
- The Distribution of a Quadratic Form of Normal Random Variables
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- Unnamed Item
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