Elementary triangular matrices and inverses of \(k\)-Hessenberg and triangular matrices

DOI10.1515/spma-2015-0025zbMath1329.15073arXiv1510.00747OpenAlexW2964233078MaRDI QIDQ890750

Luis Verde-Star

Publication date: 11 November 2015

Published in: Special Matrices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.00747

zbMATH Keywords

factorizationmatrix inversiontriangular matrices\(k\)-Hessenberg matrices

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (3)

Unnamed Item ⋮ Inverses and determinants of Toeplitz-Hessenberg matrices ⋮ Polynomial sequences generated by infinite Hessenberg matrices

Cites Work

• Infinite triangular matrices, \(q\)-Pascal matrices, and determinantal representations
• A new recursive algorithm for inverting Hessenberg matrices
• Inverses of banded and k-Hessenberg matrices
• On inverse and generalized inverses of Hessenberg matrices
• On inverses of Hessenberg matrices
• Inversion of band matrices
• Functions of matrices
• A simple closed form for triangular matrix powers
• Divided Differences and Linearly Recursive Sequences

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