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Original Articles

An explicit inverse of a tridiagonal matrix

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Pages 295-304 | Received 01 Apr 1983, Published online: 20 Mar 2007

References

  • Bank , R.E. 1977 . Marching algorithms for elliptic boundary value problems. II: the variable coefficient case . SIAM J. Numer. Anal , 14 : 950 – 970 .
  • Barrett , W.W. 1979 . A theorem on inverses of tridiagonal matrices . Linear Algebra and Appl , 27 : 211 – 217 .
  • Barrett , W.W. and Feinsilver , P.J. 1981 . Inverses of banded matrices . Linear Algebra and Appl , 41 : 111 – 130 .
  • Carnahan , B. , Luther , H.A. and Wilkes , J.O. 1969 . Applied Numerical Methods , 441 – 442 . New York : Wiley .
  • Lewis , J.W. 1982 . Inversion of tridiagonal matrices . Numer. Math , 38 : 333 – 345 .
  • Pritchard , H.O. and Vatsya , S.R. 1982 . Unimolecular reactions with intense radiation . J. Chem. Phys , 76 : 1024 – 1032 .
  • Schlegel , P. 1970 . The explicit inverse of a tridiagonal matrix . Mathematics of Computation , 24 : 665

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