On some interesting properties of a special type of tridiagonal matrices

DOI10.1080/09720529.2016.1165417OpenAlexW2626197087MaRDI QIDQ5069901

Qassem M. Al-Hassan

Publication date: 19 April 2022

Published in: Journal of Discrete Mathematical Sciences and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/09720529.2016.1165417

zbMATH Keywords

orthogonal polynomialsdifference equationstridiagonal matricespowers and inverses

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Linear difference operators (47B39) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (4)

Some comments on the properties of a particular tridiagonal matrix ⋮ Solution of the generalized regularized long-wave equation with optimal spline collocation technique and implicit Crank–Nicolson as well as explicit SSP-RK43 scheme ⋮ An upwind finite volume method for convection-diffusion equations on rectangular mesh ⋮ Analysis of RLW and MRLW equation using an improvised collocation technique with SSP-RK43 scheme

Cites Work

• Unnamed Item
• A new recursive algorithm for inverting Hessenberg matrices
• On computing of arbitrary positive integer powers for tridiagonal matrices with elements \(1, 0, 0,\dots, 0, 1\) in principal and \(1, 1, 1,\dots,1\) in neighbouring diagonals. II.
• Analytical inversion of general periodic tridiagonal matrices
• Positive integer powers of certain tridiagonal matrices
• A fast numerical algorithm for the inverse of a tridiagonal and pentadiagonal matrix
• On the inverses of general tridiagonal matrices
• On the powers and the inverse of a tridiagonal matrix
• On the inverse of a general tridiagonal matrix.
• Inversion of general tridiagonal matrices
• On computing of arbitrary positive integer powers for tridiagonal matrices with elements \(-1,0,0,\dots ,0,1\) in principal and \(1,1,1,\dots,1\) in neighbouring diagonals. II.
• Powers of tridiagonal matrices with constant diagonals
• Explicit formula for the inverse of a tridiagonal matrix by backward continued fractions
• On computing of arbitrary positive integer powers for one type of symmetric tridiagonal matrices of odd order. I
• On computing of arbitrary positive integer powers for one type of symmetric tridiagonal matrices of even order. I

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