Explicit Inversions of Certain Matrices I
Ruiming Zhang
TL;DR
This paper presents a method for explicitly inverting certain Hankel matrices using kernel polynomials associated with classical orthogonal polynomials.
Contribution
It introduces a novel approach to invert Hankel matrices explicitly through kernel polynomials, expanding the tools available for matrix analysis.
Findings
Explicit inversion formulas for specific Hankel matrices
Connection between Hankel matrices and classical orthogonal polynomials
Potential applications in computational mathematics
Abstract
In this note, we demonstrate a method to invert some Hankel matrices explicitly by using the kernel polynomials for the related classical orthogonal polynomials.
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Taxonomy
TopicsMatrix Theory and Algorithms · Advanced Mathematical Theories and Applications