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A note on solving nearly penta-diagonal linear systems. (English) Zbl 1157.65339
Summary: A new efficient computational algorithm is presented for solving nearly penta-diagonal linear systems based on the use of any penta-diagonal linear solver. The implementation of the algorithm using computer algebra systems (CAS) such as MAPLE and MATLAB is straightforward. Numerical examples are given to illustrate the effectiveness of our method.

65F05Direct methods for linear systems and matrix inversion (numerical linear algebra)
65F50Sparse matrices (numerical linear algebra)
68W30Symbolic computation and algebraic computation
Maple; Matlab
Full Text: DOI
[1] Miladinova, S.; Lebon, G.; Toshev, E.: Thin-film flow of a power-law liquid falling down an inclined plate. J. non-Newtonian fluid mech. 122, 69-78 (2004) · Zbl 1143.76341
[2] Sheid, B.; Oron, A.; Colinet, P.; Thiele, U.; Legros, J. C.: Nonlinear evolution of nonuniformly heated falling liquid films. Phys. fluids 14, 4130-4151 (2002) · Zbl 1185.76322
[3] Karawia, A. A.: A computational algorithm for solving periodic penta-diagonal linear systems. Appl. math. Comput. 174, 613-618 (2006) · Zbl 1089.65023
[4] Nguetchue, S. N. Neossi; Abelman, S.: A computational algorithm for solving nearly penta-diagonal linear systems. Appl. math. Comput. 203, No. 2, 629-634 (2008) · Zbl 1157.65340
[5] Sogabe, T.: New algorithms for solving periodic tridiagonal and periodic pentadiagonal linear systems. Appl. math. Comput. 202, 850-856 (2008) · Zbl 1151.65022
[6] Golub, G. H.; Van Loan, C. F.: Matrix computations. (1996) · Zbl 0865.65009
[7] El-Mikkawy, M. E. A.: A fast and reliable algorithm for evaluating nth order pentadiagonal determinants. Appl. math. Comput. 202, 210-215 (2008) · Zbl 1151.65038