The explicit inverse of a tridiagonal matrix
Author:
P. Schlegel
Journal:
Math. Comp. 24 (1970), 665
MSC:
Primary 65.35
DOI:
https://doi.org/10.1090/S0025-5718-1970-0273798-2
MathSciNet review:
0273798
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Abstract | Similar Articles | Additional Information
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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Additional Information
DOI:
https://doi.org/10.1090/S0025-5718-1970-0273798-2
Keywords:
Inverse,
tridiagonal matrix,
integer arithmetic,
integer elements,
partitioned matrices
Article copyright:
© Copyright 1970
American Mathematical Society