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Mathematics of Computation

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The explicit inverses of two commonly occurring matrices

Author: D. Kershaw
Journal: Math. Comp. 23 (1969), 189-191
MSC: Primary 65.35
MathSciNet review: 0238478
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Abstract: Explicit formulae are given for the inverses of certain tridiagonal scalar and block matrices.

During an investigation into the convergence properties of natural splines it was found convenient to have the explicit forms for the inverses of certain tridiagonal matrices. Special forms of these matrices arise in other branches of numerical analysis and so it may be useful to record them.

The derivation is elementary but complicated and will only be indicated.

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Article copyright: © Copyright 1969 American Mathematical Society

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