On inverses of infinite Hessenberg matrices

DOI10.1016/j.cam.2014.07.010zbMath1297.15005OpenAlexW1558809478MaRDI QIDQ457749

J. Abderramán Marrero, Venancio Tomeo, Emilio Torrano

Publication date: 29 September 2014

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2014.07.010

zbMATH Keywords

inverse matrixtridiagonal matrixinfinite matrixHessenberg matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Basic linear algebra (15A99) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

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Cites Work

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• Properties of a matrix, inverse to a Hessenberg matrix
• A review of infinite matrices and their applications
• On inverses of Hessenberg matrices
• Non-symbolic algorithms for the inversion of tridiagonal matrices
• On new algorithms for inverting Hessenberg matrices
• Upper and lower bounds for inverse elements of finite and infinite tridiagonal matrices
• Moore–Penrose inverse of an invertible infinite matrix
• A fast algorithm for computing the smallest eigenvalue of a symmetric positive-definite Toeplitz matrix
• Methods of inverting tridiagonal matrices

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