Article ID Journal Published Year Pages File Type
4635585 Applied Mathematics and Computation 2016 6 Pages PDF
Abstract

Tridiagonal linear systems are of special importance being appeared in space researches and also in several well-known algorithms. There are many methods for solving a tridiagonal linear system. Most of them are suffering from the accumulation of the round off errors. In this paper a new method will be given to overcome the defects of the other methods. Also, two direct methods, for solving a system of linear equations having matrices of quaternion entries as coefficients and independent terms, are proposed. Second kind Chebyshev polynomials, in a matrix argument, are used as a tool to do certain calculations.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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