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Spectral equivalence of unsymmetric kernel matrices and applications
Tizian Wenzel, Armin Iske
Symmetric kernel matrices are a well-researched topic in the literature of kernel based approximation. In particular stability properties in terms of lower bounds on the smallest e…
Spectral alignment of kernel matrices and applications
Tizan Wenzel, Armin Iske
Kernel matrices are a key quantity in kernel-based approximation, and important properties such as stability and algorithmic convergence can be analyzed with their help. In this wo…
On the convergence of generalized kernel-based interpolation by greedy data selection algorithms
Kristof Albrecht, Armin Iske
We analyze the convergence of generalized kernel-based interpolation methods. This is done under minimalistic assumptions on both the kernel and the target function. On these groun…
Product kernels are efficient and flexible tools for high-dimensional scattered data interpolation
Kristof Albrecht, Juliane Entzian, Armin Iske
This work concerns the construction and characterization of product kernels for multivariate approximation from a finite set of discrete samples. To this end, we consider composing…