Products of idempotent and square-zero matrices

DOI10.1016/j.laa.2016.02.026zbMath1334.15037OpenAlexW2274625208MaRDI QIDQ254899

J. D. Botha

Publication date: 8 March 2016

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2016.02.026

zbMATH Keywords

similarityrankmatrix factorizationidempotent matrixsquare-zero matrix

Mathematics Subject Classification ID

Factorization of matrices (15A23) Matrices over special rings (quaternions, finite fields, etc.) (15B33)

Related Items (1)

The sum and the product of two quadratic matrices: regular cases

Cites Work

• Square-zero factorization of matrices
• Factorization of matrices into quadratic ones. III
• A short proof of Botha's theorem on products of idempotent linear mappings
• Matrix division with an idempotent divisor or quotient
• Products of square-zero operators
• Factorization of singular integer matrices
• Idempotent factorization of matrices
• The Subsemigroup Generated By the Idempotents of a Full Transformation Semigroup
• On products of idempotent matrices
• Products of idempotent matrices
• The product of two quadratic matrices

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