Explicit Inversions of Certain Matrices II
Ruiming Zhang
TL;DR
This paper uses kernel polynomials to explicitly invert certain Hankel matrices linked to q-orthogonal polynomials, providing a mathematical method for matrix inversion in this context.
Contribution
It introduces a novel application of kernel polynomials to find explicit inverses of Hankel matrices related to q-orthogonal polynomials.
Findings
Explicit inverses for specific Hankel matrices derived
Method demonstrates effectiveness for matrices associated with q-orthogonal polynomials
Provides a new tool for matrix inversion in mathematical analysis
Abstract
In this note, we apply kernel polynomials to find the explicit inverses for some some Hankel matrices associated with q-orthogonal polynomials.
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Taxonomy
TopicsMatrix Theory and Algorithms · Advanced Mathematical Theories and Applications