Splines in Bessel Potential Spaces

A blog dedicated to multivariate normal splines theory and applications.

Monday, September 28, 2020

NormalSmoothingSplines.jl package: Multivariate Smoothing Normal Splines in Julia

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NormalSmoothingSplines.jl  

NormalHermiteSplines.jl package: Multivariate Hermite Normal Splines in Julia

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https://github.com/IgorKohan/NormalHermiteSplines.jl
Tuesday, March 24, 2020

NormalSplines.jl package: 1-D Normal Splines in Julia

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View on GitHub Documentation
Friday, November 29, 2019

Interpolating Normal Splines: One-dimensional case

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$\setCounter{0}$ This topic is concerned with numerical solution of the following interpolation problems: Problem 1. Given points $x_1 ...
Thursday, October 24, 2019

Quadratic Programming in Hilbert space. Part III. General case.

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$\setCounter{0}$ The algorithm described in the previous post  can be applied for solving a more general quadratic programming problem [1...
Friday, July 19, 2019

Quadratic Programming in Hilbert space. Part II. Adaptive algorithm.

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This is a continuation to the previous post. $\setCounter{27}$ One disadvantage of the algorithm described in the  previous post is tha...
Wednesday, April 17, 2019

Quadratic Programming in Hilbert space. Part I.

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$\setCounter{0}$ This post describes an algorithm for the normal solution of a system of linear inequalities in a Hilbert space. An origin...
Friday, February 8, 2019

Algorithms for updating Cholesky factorization

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A problem of updating Cholesky factorization was treated in [1], [2] and [3]. Here algorithms taken from those works are described. These a...

Simple normal splines examples

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$\setCounter{0}$ In this post we illustrate the normal spline interpolation approach with a few simple examples. Let there is the followi...
Tuesday, January 29, 2019

Hermite-Birkhoff Interpolation of Scattered Data

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$\setCounter{0}$ Suppose $P_1 = \{p_i, p_i \in R^n\}_{i=1}^{M_1}$ and $P_2 = \{p'_i, p'_i \in R^n\}_{i=1}^{M_2}$ are sets of data ...
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