Diagonalization and spectral decomposition of factor block circulant matrices

DOI10.1016/0024-3795(88)90124-3zbMath0641.15010OpenAlexW2024564004MaRDI QIDQ1100534

Julio Cesar Ruiz Claeyssen, Liara Aparecida dos Santos Leal

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)90124-3

zbMATH Keywords

Kronecker productsspectral decompositiondiagonalizationcirculant matricesFourier matrixblock circulantsfactor circulant matrices

Mathematics Subject Classification ID

Factorization of matrices (15A23) Hermitian, skew-Hermitian, and related matrices (15B57) Canonical forms, reductions, classification (15A21)

Related Items (13)

Spectral decomposition of real circulant matrices ⋮ Analysis and reanalysis of mechanical systems: concept of global near-regularity ⋮ Effective algorithms with circulant-block matrices ⋮ Some Results on the Field of Values of Matrix Polynomials ⋮ A nonmodal approach for time-integration of a barotropic limited area model ⋮ Twisted Neumann-Zagier matrices ⋮ Charges and currents in quantum spin chains: late-time dynamics and spontaneous currents ⋮ Level-\(m\) scaled circulant factor matrices over the complex number field and the quaternion division algebra ⋮ Fast algorithms for solving FLS \(R\)-factor block circulant linear systems and inverse problem of \(\mathcal{A} X = b\) ⋮ Circulant type matrices with the sum and product of Fibonacci and Lucas numbers ⋮ On the minimal polynomials and the inverses of multilevel scaled factor circulant matrices ⋮ Polynomial numerical hulls of matrix polynomials, II ⋮ High speed implementation of certain adaptive filters: A novel Toeplitz matrix decomposition approach

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Differential equations involving circulant matrices
• Theory of generalized group matrices

This page was built for publication: Diagonalization and spectral decomposition of factor block circulant matrices