hermite_bf_matrix

<code>hermite_bf_matrix</code> constructs matrix of Hermite basis functions' coefficients on
[<code>u</code>,<code>v</code>], that is the matrix of 4 cubic polynomials' coefficients of
one-component Hermite cubic spline.

We construct the explicit form of clamped cubic interpolating spline (both uniform - knots are equidistant and non-uniform - knots are arbitrary). Using this form, we propose a linear regression model suitable for real data smoothing.

Lubomir Antoni

ICSsmoothing

Data Smoothing by Interpolating Cubic Splines

Juraj Hudak

Csaba Torok

Viliam Kacala

hermite_bf_matrix function

<dl><dt>u</dt>
<dd>a left border of interval [<code>u</code>,<code>v</code>].</dd>
<dt>v</dt>
<dd>a right border of interval [<code>u</code>,<code>v</code>], <code>u</code>\(\le\)<code>v</code>.</dd></dl>

Arguments

Construct 4 Hermite basis functions. — hermite_bf_matrix

<dl>

<dt>u</dt>
<dd>a left border of interval [<code>u</code>,<code>v</code>].</dd>


<dt>v</dt>
<dd>a right border of interval [<code>u</code>,<code>v</code>], <code>u</code>\(\le\)<code>v</code>.</dd>

</dl>

hermite_bf_matrix: Construct 4 Hermite basis functions.

Description

Usage

Value

Arguments

Examples