The Inverse of a Tridiagonal Matrix

Abstract

The closed form inverse of a fairly general tridiagonal matrix is given. The restriction is that the off-diagonal elements in the tridiagonal band be nonzero. If the elements of the matrix are integers, where the upper off-diagonal elements are equal and the lower off-diagonal elements are equal, then an integer multiple of each element of the inverse can be generated by integer arithmetic.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1972
Accession Number
AD0753610

Entities

People

  • Palmer R. Schlegel
  • William C. Taylor

Organizations

  • Ballistic Research Laboratory

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  • Applied Mathematics
  • Arithmetic
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Fields of Study

  • Mathematics

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  • Linear Algebra