A study on quaternion blockquasi-tridiagonal systems (original) (raw)

The objective of the present work is to study the solution of quaternion block quasitridiagonal systems. Kershaw and Rdzsa and Romani have proposed a method for calculating matrix inverses using second kind Chebyshev polynomials. This method has been generalized later to block tridiagonal matrices with quaternionic entries by Costa and Ser6dio. In the present work, we make use of this method to solve block quasi-tridiagonal systems of the same kind. The computational effort to obtain the solution is evaluated, and future more efficient strategies are proposed. (~ 2005 Elsevier Ltd. All rights reserved. Keywords-Block tridiagonal matrices, Block quasi-tridiagonal matrices, Chebyshev polynomials, Quaternions.