Decomposition of matrices into three involutions

DOI10.1016/0024-3795(88)90047-XzbMath0659.15009MaRDI QIDQ1112130

Kangman Liu

Publication date: 1988

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

zbMATH Keywords

involutioncomplex matrixproducts of three involutions

Mathematics Subject Classification ID

Factorization of matrices (15A23)

Related Items (17)

Products of commutators of symplectic involutions ⋮ Powers of 1-cyclic conjugacy classes in the groups GL\(_ n(F)\) and SL\(_ n(F)\) ⋮ Products of involutory matrices over rings ⋮ Factorization of matrices into quadratic ones. II ⋮ Expressing infinite matrices over rings as products of involutions ⋮ The operator factorization problems ⋮ Every real symplectic matrix is a product of real symplectic involutions ⋮ On the decompositions of infinite upper triangular matrices over rings ⋮ Products of involutions in the stable general linear group ⋮ Expressing infinite matrices as products of involutions ⋮ Decomposition of symplectic matrices into products of commutators of symplectic involutions ⋮ Decomposition of infinite matrices into products of commutators of involutions ⋮ Products of unipotent matrices of index 2 ⋮ Each symplectic matrix is a product of four symplectic involutions ⋮ Products of Involutions of an Infinite-dimensional Vector Space ⋮ Products of Riordan arrays of finite orders ⋮ Every real symplectic matrix is a product of commutators of real symplectic involutions

Cites Work

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• Weakly transitive matrices
• Products of involutions
• Product of two involutions
• A factorization theorem for matrices
• Products of involutory matrices. I

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