Properties of unilevel block circulants

DOI10.1016/j.laa.2008.11.006zbMath1217.15039OpenAlexW2051589442MaRDI QIDQ1014465

William F. Trench

Publication date: 29 April 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.11.006

zbMATH Keywords

singular value decompositiondiscrete Fourier transformleast squaresMoore-Penrose inversecirculantblock circulant

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09) Numerical methods for discrete and fast Fourier transforms (65T50) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (11)

How to determine the eigenvalues of g-circulant matrices ⋮ Procrustes problems and inverse eigenproblems for multilevel block α -circulants ⋮ Characterization and properties of \((R,S_\sigma)\)-commutative matrices ⋮ Multigrid methods for Toeplitz linear systems with different size reduction ⋮ On the minimal polynomials and the inverses of multilevel scaled factor circulant matrices ⋮ Inverse problems for unilevel block α‐circulants ⋮ Characterization and properties of matrices with \(k\)-involutory symmetries. II ⋮ Characterization and properties of \((P_\sigma, Q)\) symmetric and co-symmetric matrices ⋮ Properties of multilevel block \(\alpha \)-circulants ⋮ On nonautonomous linear systems of differential and difference equations with \(R\)-symmetric coefficient matrices ⋮ Robust and optimal multi-iterative techniques for Iga Galerkin linear systems

Cites Work

• Unnamed Item
• A Korovkin-type theory for finite Toeplitz operators via matrix algebras
• Eigenvectors of certain matrices
• Roots and Canonical Forms for Circulant Matrices
• Cyclic Transformations of Polygons and the Generalized Inverse
• A Korovkin-Based Approximation of MultilevelToeplitz Matrices (With Rectangular Unstructured Blocks) via Multilevel Trigonometric Matrix Spaces
• The Moore-Penrose Pseudoinverse of an Arbitrary, Square, k -circulant Matrix
• The Pseudoinverse of an r-Circulant Matrix
• Explicit Inverses and Condition Numbers of Certain Circulants

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