The Explicit Inverse of a Tridiagonal Matrix

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1970Publisher:JSTORJournal:Mathematics of Computation, volume 24, page 665 (issn: 0025-5718,

Copyright policy )

Authors: Schlegel, P.;

doi: 10.2307/2004842 , 10.1090/s0025-5718-1970-0273798-2

The Explicit Inverse of a Tridiagonal Matrix

- Summary
- Subjects
- Metrics

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.

Keywords

Roundoff error, Theory of matrix inversion and generalized inverses, Direct numerical methods for linear systems and matrix inversion

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	17
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average