Generalized invertibility of Hankel and Toeplitz matrices

DOI10.1016/0024-3795(93)90273-QzbMath0798.15001MaRDI QIDQ1318203

Maria Celeste Gouveia

Publication date: 6 November 1994

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

zbMATH Keywords

generalized inversesMoore-Penrose inverseToeplitz matricesHankel matricesRao condition

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items

On Drazin inverse of singular Toeplitz matrix ⋮ About the group inverse and Moore-Penrose inverse of a product ⋮ Displacement structure of the core inverse ⋮ Explicit group inverse of an innovative patterned matrix ⋮ Inversion of the generalized Fibonacci matrix by convolution ⋮ Regular Hankel matrices over integral domains ⋮ On \(k\)-circulant matrices involving the Pell-Lucas (and the modified Pell) numbers ⋮ The explicit inverse of nonsingular conjugate-Toeplitz and conjugate-Hankel matrices ⋮ On group inverse of singular Toeplitz matrices ⋮ The core invertibility of a companion matrix and a Hankel matrix ⋮ Group and Moore-Penrose invertibility of Bézoutians

Cites Work

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• Quasidirect decompositions of Hankel and Toeplitz matrices
• Algebraic methods for Toeplitz-like matrices and operators
• EP morphisms
• Generalized inverses of morphisms with kernels
• Categories of matrices with only obvious Moore-Penrose inverses
• The Moore-Penrose inverse of a morphism with factorization
• Integral generalized inverses of integral matrices
• On generalized inverses of matrices over integral domains
• Generalized inverses of matrices with entries taken from an arbitrary field
• About the group inverse and Moore-Penrose inverse of a product
• The moore-penrose inverse of a matrix over a semi-simple artinian ring with respect to an involution