On bounding 𝐴⁻¹_{∞} for banded 𝐴

Demko, Stephen

doi:10.1090/S0025-5718-1979-0537972-8

On bounding $A^{-1}_{\infty }$ for banded $A$
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Math. Comp. 33 (1979), 1283-1288 Request permission

Abstract:

Upper bounds for $\left \|{A^{ - 1}}\right \|_\infty$ in terms of inverses of certain submatrices are obtained for band matrices. An application to a problem in spline theory is made.

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