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On inverse and generalized inverses of Hessenberg matrices

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Publication:1106619
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DOI10.1016/0024-3795(88)90149-8zbMath0651.65030OpenAlexW1984008982MaRDI QIDQ1106619

S. H. Smith

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0024-3795(88)90149-8


zbMATH Keywords

algorithmsgeneralized inversesinversesblock triangular matrixPenrose equationsreal Hessenberg matrices


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 (4)

Elementary triangular matrices and inverses of \(k\)-Hessenberg and triangular matrices ⋮ A solution approach for lower Hessenberg linear systems ⋮ Implementation of fractional-order transfer functions in the viewpoint of the required fractional-order capacitors ⋮ Inverses and determinants of Toeplitz-Hessenberg matrices



Cites Work

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  • On inverses of Hessenberg matrices
  • A Class of Hessenberg Matrices with Known Pseudoinverse and Drazin Inverse


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