2011•Applied Mechanics and MaterialsOpen access

An Improved Fast Algorithm for Solving Toeplitz Systems in Mechanical Control

Li Chao Tian, Hong Kui Li

Abstract

Pentadiagonal Toeplitz systems of linear equations arise in many application areas. Because of the structure and many good properties of pentadiagonal Toeplitz matrices, they have been applied in Mechanical Control. Based on [1], in this paper, we present an improved fast algorithm for solving symmetric pentadiagonal Toeplitz systems.

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Available abstract

Key concepts: Toeplitz matrix, Levinson recursion, Algorithm, Computer science, Control (management), Applied mathematics, Mathematics, Algebra over a field