On decomposition of \(k\)-tridiagonal \(\ell\)-Toeplitz matrices and its applications

DOI10.1515/spma-2015-0019zbMath1327.15018OpenAlexW2273176175MaRDI QIDQ890741

A. Ohashi, Tsuyoshi Sasaki Usuda, Tomohiro Sogabe

Publication date: 11 November 2015

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

Full work available at URL: https://doi.org/10.1515/spma-2015-0019

zbMATH Keywords

decompositiontensor producteigenpairs\(k\)-tridiagonal \(\ell\)-Toeplitz matrixinteger powers

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (5)

On decomposition of \(k\)-tridiagonal \(\ell\)-Toeplitz matrices and its applications ⋮ A tridiagonalization-based numerical algorithm for computing the inverses of \((p, q)\)-pentadiagonal matrices ⋮ Eigenpairs of some imperfect pentadiagonal Toeplitz matrices ⋮ A periodic determinantal property for (0,1) double banded matrices ⋮ Determinants of some pentadiagonal matrices

Cites Work

• Fast block diagonalization of \(k\)-tridiagonal matrices
• On decomposition of \(k\)-tridiagonal \(\ell\)-Toeplitz matrices and its applications
• A new family of \(k\)-Fibonacci numbers
• Explicit inverse of a tridiagonal \(k\)-Toeplitz matrix
• On a constant-diagonals matrix
• On some tridiagonal \(k\)-Toeplitz matrices: Algebraic and analytical aspects. applications
• INVERSION FORMULAS FOR TRIDIAGONAL MATRICES WITH APPLICATIONS TO BOUNDARY VALUE PROBLEMS^*
• Properties of Some Tridiagonal Matrices and Their Application to Boundary Value Problems
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