Numerical algorithms for solving comrade linear systems based on tridiagonal solvers

Applied Mathematics and Computation

Volumn 198, Issue 1, 2008, Pages 117-122

  Sogabe, Tomohiro ^a  

^a NAGOYA UNIVERSITY   (Japan)

Author keywords

Comrade matrices; Determinants; Linear systems; Tridiagonal matrices

Indexed keywords

ALGORITHMS; MATRIX ALGEBRA; NUMERICAL METHODS; PROBLEM SOLVING;

COMRADE MATRICES; TRIDIAGONAL MATRICES;

LINEAR SYSTEMS;

EID: 40149102155     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2007.08.029     Document Type: Article

References (6)

1. Bar-on I., and Leoncini M. Reliable solution of tridiagonal systems of linear equations. SIAM J. Numer. Anal. 38 (2000) 1134-1153
2. El-Mikkawy M. A fast algorithm for evaluating nth order tri-diagonal determinants. J. Comput. Appl. Math. 166 (2004) 581-584
3. Golub G.H., and Van Loan C.F. Matrix Computations. third ed. (1996), The Johns Hopkins University Press, Baltimore and London
4. Karawia A.A. Two algorithms for solving comrade linear systems. Appl. Math. Comput. 189 (2007) 291-297
5. Povitsky A., and Morris P.J. A higher-order compact method in space and time based on parallel implementation of the Thomas algorithm. J. Comput. Phys. 161 (2000) 182-203
6. Sogabe T. On a two-term recurrence for the determinant of a general matrix. Appl. Math. Comput. 187 (2007) 785-788