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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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The explicit inverse of a tridiagonal matrix
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by P. Schlegel PDF
Math. Comp. 24 (1970), 665 Request permission

Abstract:

The closed form inverse of a tridiagonal matrix, which is a slight generalization of a matrix considered by D. Kershaw (Math. Comp., v. 23, 1969, pp. 189–191), is given in this note. If the matrix has integer elements, an integer multiple of the inverse can be computed by integer arithmetic, that is, without machine roundoff error.
References
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Additional Information
  • © Copyright 1970 American Mathematical Society
  • Journal: Math. Comp. 24 (1970), 665
  • MSC: Primary 65.35
  • DOI: https://doi.org/10.1090/S0025-5718-1970-0273798-2
  • MathSciNet review: 0273798