Pointwise estimates for B-spline Gram matrix inverses
Markus Passenbrunner
TL;DR
This paper introduces a novel method to establish geometric-decay inequalities for the entries of inverses of B-spline Gram matrices, building upon prior work by Passenbrunner and Shadrin.
Contribution
The paper proposes a new approach to prove geometric-decay inequalities for B-spline Gram matrix inverses, advancing theoretical understanding in spline analysis.
Findings
Established a new proof technique for decay inequalities
Extended previous results by Passenbrunner and Shadrin
Enhanced theoretical framework for B-spline matrix analysis
Abstract
We present a new method for proving a certain geometric-decay inequality for entries of inverses of B-spline Gram matrices, which is given in [Passenbrunner,Shadrin 2013, arXiv:1308.4824].
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Taxonomy
TopicsMathematical Analysis and Transform Methods · Matrix Theory and Algorithms · Advanced Harmonic Analysis Research