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Multidimensional matrix inversions. (English) Zbl 0854.65022

We compute the inverse of a specific infinite \(r\)-dimensional matrix, thus unifying multidimensional matrix inversions recently found by Milne, Lilly, and Bhatnagar. Our inversion is an \(r\)-dimensional extension of a matrix inversion previously found by Krattenthaler. We also compute the inverse of another infinite \(r\)-dimensional matrix. As an application of our matrix inversion, we derive new multidimensional bibasic summation formulas.
Reviewer: M.Schlosser

MSC:

65F05 Direct numerical methods for linear systems and matrix inversion
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