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Please use this identifier to cite or link to this item: http://eprint.iitd.ac.in/handle/2074/901

Title: The inverse of a tridiagonal matrix
Authors: Mallik, Ranjan K
Keywords: Tridiagonal matrix
Inverse
Second-order linear difference equation
Variable coefficients
Explicit solution
Orthogonal polynomials
Issue Date: 2001
Citation: Linear Algebra and its Applications, 325(1-3), 109–139
Abstract: In this paper, explicit formulae for the elements of the inverse of a general tridiagonal matrix are presented by first extending results on the explicit solution of a second-order linear homogeneous difference equation with variable coefficients to the nonhomogeneous case, and then applying these extended results to a boundary value problem. A formula for the characteristic polynomial is obtained in the process. We also establish a connection between the matrix inverse and orthogonal polynomials. In addition, the case of a cyclic tridiagonal system is discussed.
URI: http://eprint.iitd.ac.in/dspace/handle/2074/901
Appears in Collections:Electrical Engineering

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