Inversion of band matrices
From MaRDI portal
Publication:1258348
DOI10.1016/0024-3795(79)90151-4zbMath0408.15004OpenAlexW1971478516MaRDI QIDQ1258348
Tetsuro Yamamoto, Yasuhiko Ikebe
Publication date: 1979
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0024-3795(79)90151-4
Bukhberger and Emel'Yanov MethodInversion of Band MatricesInversion of Symmetric Tridiagonal Matrices
Related Items
Yamamoto's principle and its applications to precise finite element error analysis. ⋮ On the additive structure of the inverses of banded matrices ⋮ Inverses of banded and k-Hessenberg matrices ⋮ Some structural properties of inverse matrices ⋮ Inversion of general tridiagonal matrices ⋮ Discretization Principles for Linear Two-Point Boundary Value Problems, III ⋮ A seventh order global spline procedure for a class of boundary value problems ⋮ A sixth order spline procedure for a class of nonlinear boundary value problems ⋮ On computing of block ILU preconditioner for block tridiagonal systems ⋮ Cubic B-spline fuzzy transforms for an efficient and secure compression in wireless sensor networks ⋮ Explicit inversion of Band Toeplitz matrices by discrete Fourier transform ⋮ Affine nonexpansive operators, Attouch-Théra duality and the Douglas-Rachford algorithm ⋮ Elementary triangular matrices and inverses of \(k\)-Hessenberg and triangular matrices ⋮ On the closed representation for the inverses of Hessenberg matrices ⋮ Storage compression of inverses of band matrices ⋮ Limited distribution of sample partial autocorrelations: A matrix approach ⋮ Monotone positive stable matrices ⋮ Analytical inversion of general periodic tridiagonal matrices ⋮ Non-symbolic algorithms for the inversion of tridiagonal matrices ⋮ PCG methods applied to a system of nonlinear equations ⋮ On the connection between tridiagonal matrices, Chebyshev polynomials, and Fibonacci numbers ⋮ Explicit formula for the inverse of a tridiagonal matrix by backward continued fractions ⋮ The inverse of a tridiagonal matrix ⋮ INVERSION FORMULAS FOR TRIDIAGONAL MATRICES WITH APPLICATIONS TO BOUNDARY VALUE PROBLEMS* ⋮ Explicit inverse of a tridiagonal \(k\)-Toeplitz matrix ⋮ Discretization Principles for Linear Two-Point Boundary Value Problems, II ⋮ Explicit determinants, inverses and eigenvalues of four band Toeplitz matrices with perturbed rows ⋮ The inverses of Toeplitz band matrices ⋮ A review on the application of fuzzy transform in data and image compression ⋮ Inverses of quasi-tridiagonal matrices ⋮ Discretization Principles for Linear Two-Point Boundary Value Problems ⋮ A novel algorithm for inverting a general \(k\)-tridiagonal matrix
Cites Work