About the von Neumann regularity of triangular block matrices

DOI10.1016/S0024-3795(01)00295-6zbMath1002.15001OpenAlexW2062527787MaRDI QIDQ5946196

Pedro Patrício, Roland Puystjens

Publication date: 14 October 2001

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

Full work available at URL: https://doi.org/10.1016/s0024-3795(01)00295-6

zbMATH Keywords

Drazin inverseToeplitz matricesblock matrices over ringstriangular block matricesvon Neumann regularity

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (22)

Constructing and counting regular triangular matrices ⋮ Positive solutions to the equations \(AX=C\) and \(XB=D\) for Hilbert space operators ⋮ Algebraic conditions for the solvability of system of three linear equations in a ring ⋮ Unnamed Item ⋮ Some regular sums ⋮ The (b,c)-inverse for products and lower triangular matrices ⋮ On the operator equation \(AX-XB+XDX=C\) ⋮ The Moore-Penrose inverse of a companion matrix ⋮ The group inverse of \(2 \times 2\) matrices over a ring ⋮ The core inverse of a product and \(2\times 2\) matrices ⋮ The inverse along a lower triangular matrix ⋮ Equations \(ax = c\) and \(xb = d\) in rings and rings with involution with applications to Hilbert space operators ⋮ Group inverses for some \(2 \times 2\) block matrices over rings ⋮ The group inverse of a product ⋮ The \((2,2,0)\) group inverse problem ⋮ Diagonalizing triangular matrices via orthogonal Pierce decompositions ⋮ Some additive results on Drazin inverses ⋮ The inverse along a product and its applications ⋮ The solutions to some operator equations with corresponding operators not necessarily having closed ranges ⋮ The pseudo core inverse of a lower triangular matrix ⋮ Drazin invertibility for matrices over an arbitrary ring ⋮ Algebraic conditions for the solvability to some systems of matrix equations

Cites Work

• Generalized inverses of a sum with a radical element
• Generalized inverses of matrices over commutative rings
• Drazin invertibility for matrices over an arbitrary ring
• The group inverse of a companion matrix
• Unnamed Item
• Unnamed Item

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