2014•Rose-Hulman Scholar (Rose–Hulman Institute of Technology)Requires access

Analytical Solution of the Symmetric Circulant Tridiagonal Linear System

Sean A Broughton, Jeffery J. Leader

Abstract

A circulant tridiagonal system is a special type of Toeplitz system that appears in a variety of problems in scientific computation. In this paper we give a formula for the inverse of a symmetric circulant tridiagonal matrix as a product of a circulant matrix and its transpose, and discuss the utility of this approach for solving the associated system.

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Key concepts: Tridiagonal matrix, Circulant matrix, Toeplitz matrix, Mathematics, Tridiagonal matrix algorithm, Transpose, Matrix (chemical analysis), Algebra over a field