A study on quaternion blockquasi-tridiagonal systems

Authors:
C. Costa;T. -P. Azevedo Perdicoúlis;R. Serôdio
Affiliations:
UTAD, Portugal and ISR-Pólo Coimbra, Portugal;UTAD, Portugal and ISR-Pólo Coimbra, Portugal;UBI, Portugal and CMUBI, Portugal
Venue:
Computers & Mathematics with Applications
Year:
2005

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Abstract

The objective of the present work is to study the solution of quaternion block quasi-tridiagonalsystems. Kershaw and Rozsa 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 Serodio. 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.