Journal Article10.1007/s10910-024-01631-7
An efficient numerical algorithm for solving linear systems with cyclic tridiagonal coefficient matrices
Jinping Jia,Furong Wang,Rong Xie,Yifan Wang +3 more
About: This article is published in Journal of Mathematical Chemistry. The article was published on 08 Jun 2024. The article focuses on the topics: Tridiagonal matrix & Tridiagonal matrix algorithm.
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TL;DR: Using the information about higher spatial derivatives of the concentrations contained in the time-dependent, kinetic reaction-diffusion partial differential equation(s) in one-dimensional space geometry, under appropriate assumptions it is possible to increase the accuracy orders of the conventional, one-sided n-point finite-difference formulae for the concentration gradients at the boundaries, without increasing n.
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A breakdown-free algorithm for computing the determinants of periodic tridiagonal matrices
TL;DR: A new breakdown-free recursive algorithm for computing the determinant of the periodic tridiagonal matrix with Toeplitz structure via a three-term recurrence, which theoretically produces exact values for periodictridiagonal matrices whose entries are all given in integer.
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