tridiag_inv_unif_by_sums

<code>tridiag_inv_unif_by_sums</code> constructs inverse of a regular tridiagonal matrix <code>T</code>_<code>n</code>(<code>a</code>,<code>b</code>,<code>a</code>)
with constant entries by a special algorithm using sums of matrix elements.

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

tridiag_inv_unif_by_sums function

<dl><dt>n</dt>
<dd>an order of given tridiagonal matrix.</dd>
<dt>a</dt>
<dd>a value of tridiagonal matrix elements that are off-diagonal.</dd>
<dt>b</dt>
<dd>a value of tridiagonal matrix diagonal elements.</dd></dl>

Arguments

Construct inverse of a tridiagonal matrix T_n(a,b,a). — tridiag_inv_unif_by_sums

<dl>

<dt>n</dt>
<dd>an order of given tridiagonal matrix.</dd>


<dt>a</dt>
<dd>a value of tridiagonal matrix elements that are off-diagonal.</dd>


<dt>b</dt>
<dd>a value of tridiagonal matrix diagonal elements.</dd>

</dl>

tridiag_inv_unif_by_sums: Construct inverse of a tridiagonal matrix T_n(a,b,a).

Description

Usage

Value

Arguments

Examples