1986International Journal of Computer MathematicsRequires access

On the inverse of a quasi-tridiagonal matrix

W. M. Pickering, Mike Piff

Open publisher page 2 citations

Abstract

Explicit relations are derived between the elements of the inverse of a quasi-tridiagonal matrix and the elements of the inverse of the associated tridiagonal matrix. These relations are used to compute the quasi-tridiagonal inverse assuming that the tridiagonal inverse is known.

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What this paper is about

Explicit relations are derived between the elements of the inverse of a quasi-tridiagonal matrix and the elements of the inverse of the associated tridiagonal matrix. These relations are used to compute the quasi-tridiagonal inverse assuming that the tridiagonal inverse is known.

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Available abstract

Explicit relations are derived between the elements of the inverse of a quasi-tridiagonal matrix and the elements of the inverse of the associated tridiagonal matrix. These relations are used to compute the quasi-tridiagonal inverse assuming that the tridiagonal inverse is known.

Key concepts: Tridiagonal matrix, Tridiagonal matrix algorithm, Mathematics, Inverse, Matrix (chemical analysis), Matrix splitting, Band matrix, Algebra over a field

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