Sums and products of two quadratic matrices

DOI10.1016/0024-3795(93)00349-5zbMath0833.15011OpenAlexW1999140887MaRDI QIDQ1902115

Jin-Hsien Wang

Publication date: 14 November 1995

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

Full work available at URL: https://doi.org/10.1016/0024-3795(93)00349-5

zbMATH Keywords

quadratic equationlag 2 shift equivalenceproduct of quadratic matricessum of quadratic matrices

Mathematics Subject Classification ID

Matrix equations and identities (15A24)

Related Items (11)

Generalized quadraticity of linear combination of two generalized quadratic matrices ⋮ Factorization of matrices into quadratic ones. II ⋮ Factorization of matrices into quadratic ones. III ⋮ The sum and the product of two quadratic matrices: regular cases ⋮ Product of invertible operators of quadratic type ⋮ Products of involutions in the stable general linear group ⋮ The sum of two quadratic matrices: exceptional cases ⋮ Sums of two triangularizable quadratic matrices over an arbitrary field ⋮ The product of two invertible quadratic matrices: exceptional cases ⋮ The quadratic sum problem for symplectic pairs ⋮ On the spectra of some combinations of two generalized quadratic matrices

Cites Work

• On the operator equation \(BX - XA = Q\)
• Products of unipotent matrices of index 2
• Difference and similarity models of two idempotent operators
• Product of two involutions
• Sums of small numbers of idempotents
• When is a matrix a sum of idempotents?
• The Group Generated by Unipotent Operators
• Sums of square-zero operators
• Elementary Divisors of AB and BA
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