Each \(n\)-by-\(n\) matrix with \(n>1\) is a sum of 5 coninvolutory matrices

DOI10.1016/j.laa.2016.07.011zbMath1346.15010arXiv1608.02503OpenAlexW2490640394MaRDI QIDQ307829

Vladimir V. Sergeichuk, Dennis I. Merino, John Patrick Sta. Maria, Viacheslav I. Rabanovich, Ma. Nerissa M. Abara

Publication date: 5 September 2016

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

Full work available at URL: https://arxiv.org/abs/1608.02503

zbMATH Keywords

condiagonalizable matricesconinvolutory matricesskew-coninvolutory matrices

Mathematics Subject Classification ID

Factorization of matrices (15A23) Canonical forms, reductions, classification (15A21)

Related Items (1)

Every \(2n\)-by-\(2n\) complex matrix is a sum of three symplectic matrices

Cites Work

• Skew-coninvolutory matrices
• Every matrix is a linear combination of three idempotents
• The sum of orthogonal matrices
• Sums of idempotent matrices
• Sums of projections
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