The nullity and rank of linear combinations of idempotent matrices
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Publication:852618
DOI10.1016/j.laa.2006.01.011zbMath1104.15001OpenAlexW2030463542MaRDI QIDQ852618
J. J. Koliha, Vladimir Rakočevič
Publication date: 15 November 2006
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2006.01.011
Related Items (18)
Invertibility in rings of the commutatorab – ba, whereaba=aandbab=b ⋮ Characterizations and representations of the Drazin inverse involving idempotents ⋮ Applications of CS decomposition in linear combinations of two orthogonal projectors ⋮ On nonsingularity of combinations of three group invertible matrices and three tripotent matrices ⋮ Invertibility and stability of linear combinations ofm-potent operators ⋮ On nonsingularity and group invertibility of combinations of two group invertible matrices ⋮ Fredholmness of a linear combination of operators ⋮ The Drazin inverse of the linear combinations of two idempotents in the Banach algebra ⋮ On invertibility of combinations of \(k\)-potent operators ⋮ The -positive semidefinite matrices A such that are nonsingular ⋮ Properties of the combinations of commutative idempotents ⋮ The spectrum of matrices depending on two idempotents ⋮ Nonsingularity of the difference and the sum of two idempotent matrices ⋮ Nonsingularity and group invertibility of linear combinations of twok-potent matrices ⋮ The group inverse of the combinations of two idempotent matrices ⋮ On the idempotency, involution and nilpotency of a linear combination of two matrices ⋮ The group inverse of the combinations of two idempotent operators ⋮ Stability theorems for some combinations of two idempotents
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