Xueting Liu
School of Electrical and Electronic Engineering, Shandong University of Technology, Zibo, 255049, Shandong, People`s Republic of China
Youquan Wang
Department of Mechanical and Electrical Engineering , Jining Polytechnic, Jining, 272037, Shandong, People`s Republic
ABSTRACT
Pentadiagonal Toeplitz systems of linear equations arise in many application areas and have been well studied over the past years, the invertibility of nonsingular pentadiagonal Toeplitz matrices has been quitely investigated in different fields of applied linear algebra. In this study, we provide a necessary and sufficient condition on which pentadiagonal Toeplitz matrix, present an algorithm for calculating the determinant of a pentadiagonal Toeplitz matrix and propose a fast algorithm for computing the inverse of a pentadiagonal Toeplitz matrix.
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How to cite this article
Xueting Liu and Youquan Wang, 2013. A Note on Computing the Inverse and the Determinant of a Pentadiagonal Toeplitz Matrix in Signal Processing. Information Technology Journal, 12: 6320-6324.
DOI: 10.3923/itj.2013.6320.6324
URL: https://scialert.net/abstract/?doi=itj.2013.6320.6324
DOI: 10.3923/itj.2013.6320.6324
URL: https://scialert.net/abstract/?doi=itj.2013.6320.6324
REFERENCES
- Lv, X.G., T.Z. Huang and J. Le, 2008. A note on computing the inverse and the determinant of a pentadiagonal Toeplitz matrix. Applied Math. Comput., 206: 327-331.
CrossRef - McNally, J.M., 2010. A fast algorithm for solving diagonally dominant symmetric pentadiagonal Toeplitz systems. J. Comput. Applied Math., 234: 995-1005.
CrossRef - McNally, J.M., L.E. Garey and R.E. Shaw, 2000. A split-correct parallel algorithm for solving tri-diagonal symmetric Toeplitz systems. Int. J. Comput. Math., 75: 303-313.
CrossRef - McNally, J.M., L.E. Garey and R.E. Shaw, 2008. A communication-less parallel algorithm for tridiagonal Toeplitz systems. J. Comput. Applied Math., 212: 260-271.
CrossRef - Nemani, S.S., 2010. A fast algorithm for solving Toeplitz penta-diagonal systems. Applied Math. Comput., 215: 3830-3838.
CrossRef