|ISSN 1088-6842(online) ISSN 0025-5718(print)|
The explicit inverse of a tridiagonal matrix
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.
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