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Mathematics of Computation

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The explicit inverse of a tridiagonal matrix

Author: P. Schlegel
Journal: Math. Comp. 24 (1970), 665
MSC: Primary 65.35
MathSciNet review: 0273798
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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