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Da Fonseca, C.M. and Petronilho, J. (2001) Linear Algebra and Its Applications, 325, 7-21.
https://doi.org/10.1016/S0024-3795(00)00289-5

has been cited by the following article:

• TITLE: Exact Inversion of Pentadiagonal Matrix for Semi-Analytic Solution of 2D Poisson Equation

  AUTHORS: Serigne Bira Gueye

  KEYWORDS: Block Matrix, Pentadiagonal Matrix, 2D Laplacian, Toeplitz Matrix, Inversion

  JOURNAL NAME: Journal of Modern Physics, Vol.13 No.12, December 27, 2022

  ABSTRACT: This work essentially consists in inverting in an exact, explicit, and original way the pentadiagonal Toeplitz matrix or tridiagonal block matrix resulting from the discretization of the two-dimensional Laplace operator. This method is an algorithm facilitating the resolution of a large number of problems governed by PDEs involving the Laplacian in two dimensions. It guarantees high precision and high efficiency in solving various differential equations.