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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Keywords: Inverse, tridiagonal matrix, integer arithmetic, integer elements, partitioned matrices
Article copyright: © Copyright 1970 American Mathematical Society