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Reproducing kernels and Riccati equations.
2001Summary: The purpose of this paper is to exhibit a connection between the Hermitian solutions of matrix Riccati equations and a class of finite-dimensional reproducing kernel Krein spaces. This connection is then exploited to obtain minimal factorizations of rational matrix-valued functions that are \(J\)-unitary on the imaginary axis in a natural way.
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2003
In this survey article, we would like to show that the theory of reproducing kernels is fundamental, is beautiful and is applicable widely in mathematics. At the same time, we shall present some operator versions of our fundamental theory in the general theory of reproducing kernels, as original results.
openaire +1 more source
In this survey article, we would like to show that the theory of reproducing kernels is fundamental, is beautiful and is applicable widely in mathematics. At the same time, we shall present some operator versions of our fundamental theory in the general theory of reproducing kernels, as original results.
openaire +1 more source
An Introduction to the Theory of Reproducing Kernel Hilbert Spaces
, 2016V. Paulsen, M. Raghupathi
semanticscholar +1 more source
Data-Driven Optimization: A Reproducing Kernel Hilbert Space Approach
Operations Research, 2022Dimitris Bertsimas, Nihal Koduri
exaly
A hybrid reproducing graph kernel based on information entropy
Pattern Recognition, 2018Lixiang Xu, Xiaoyi Jiang, Lu Bai
exaly
Reproducing kernel functions for difference equations
Discrete and Continuous Dynamical Systems - Series S, 2015Ali AKGÜL, Mustafa İnç
exaly
A reproducing kernel method for solving nonlocal fractional boundary value problems
Applied Mathematics Letters, 2012Fazhan Geng, Minggen Cui
exaly
Quantile Regression in Reproducing Kernel Hilbert Spaces
Journal of the American Statistical Association, 2007Yufeng Liu, Ji Zhu
exaly

