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A new recursive algorithm for inverting general tridiagonal and anti-tridiagonal matrices. (English) Zbl 1157.65338
Summary: The authors present a new recursive symbolic computational algorithm for inverting general tridiagonal and anti-tridiagonal matrices. An illustrative example is given.

MSC:
65F05Direct methods for linear systems and matrix inversion (numerical linear algebra)
65F50Sparse matrices (numerical linear algebra)
68W30Symbolic computation and algebraic computation
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Full Text: DOI
References:
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[2] Burden, R. L.; Faires, J. D.: Numerical analysis. (2001) · Zbl 0671.65001
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[5] El-Mikkawy, M. E. A.; Karawia, A.: Inversion of general tridiagonal matrices. Appl. math. Lett. 19, 712-720 (2006) · Zbl 1119.65022
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[8] Lewis, J. W.: Inversion of the tridiagonal matrices. Numer. math. 38, 333-345 (1982) · Zbl 0457.15002
[9] Mallik, R. K.: The inverse of a tridiagonal matrix. Linear algebra appl. 325, 109-139 (2001) · Zbl 0980.15004
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