## 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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