When is a linear combination of two idempotent matrices the group involutory matrix?
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Publication:3423561
DOI10.1080/03081080500473028zbMath1112.15009OpenAlexW2058304700MaRDI QIDQ3423561
Oskar Maria Baksalary, Jerzy K. Baksalary
Publication date: 14 February 2007
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081080500473028
Theory of matrix inversion and generalized inverses (15A09) Commutativity of matrices (15A27) Hermitian, skew-Hermitian, and related matrices (15B57)
Related Items (13)
Applications of CS decomposition in linear combinations of two orthogonal projectors ⋮ Expansion formulas for the inertias of Hermitian matrix polynomials and matrix pencils of orthogonal projectors ⋮ On invertibility of combinations of \(k\)-potent operators ⋮ The group involutory matrix of the combinations of two idempotent matrices ⋮ 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 spectrum of matrices depending on two idempotents ⋮ Unnamed Item ⋮ 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 ⋮ A disjoint idempotent decomposition for linear combinations produced from two commutative tripotent matrices and its applications
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