Efficient algorithm for finding the inverse and the group inverse of FLS \(r\)-circulant matrix

DOI10.1007/BF02936555zbMath1087.65024OpenAlexW2018749585MaRDI QIDQ2386796

Zong Ben Xu, Zhao-lin Jiang

Publication date: 25 August 2005

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

Full work available at URL: https://doi.org/10.1007/bf02936555

zbMATH Keywords

numerical examplespolynomial ringinversegroup inverseEuclidean algorithmFLS \(r\)-circulant matrixFLS \(r\)-retrocirculant matrix

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Hermitian, skew-Hermitian, and related matrices (15B57) Direct numerical methods for linear systems and matrix inversion (65F05) Canonical forms, reductions, classification (15A21)

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Cites Work

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• Linear complexity parallel algorithms for linear systems of equations with recursive structure
• Level-\(m\) scaled circulant factor matrices over the complex number field and the quaternion division algebra
• Regular representations of semisimple algebras, separable field extensions, group characters, generalized circulants, and generalized cyclic codes
• Generalized inverses of certain Toeplitz matrices
• On the Solution of Circulant Linear Systems
• An Alternate Definition of a Pseudoinverse of a Matrix

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