Polynomial Interpolation (Polynomial Interpolation)

From Algorithm Wiki
Revision as of 10:26, 15 February 2023 by Admin (talk | contribs) (Created page with "{{DISPLAYTITLE:Polynomial Interpolation (Polynomial Interpolation)}} == Description == Given a finite number of points $x_1, \ldots , x_n$, some real constants $y_1, \ldots , y_n$ and a subspace $V$ of $\Pi^d$, find a polynomial $p \in V$, such that $p(x_j) = y_j$, $j = 1, ... , n$ == Parameters == <pre>n: number of points d: dimension of space</pre> == Table of Algorithms == Currently no algorithms in our database for the given problem. == Time Complexity grap...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search

Description

Given a finite number of points $x_1, \ldots , x_n$, some real constants $y_1, \ldots , y_n$ and a subspace $V$ of $\Pi^d$, find a polynomial $p \in V$, such that

$p(x_j) = y_j$, $j = 1, ... , n$

Parameters

n: number of points
d: dimension of space

Table of Algorithms

Currently no algorithms in our database for the given problem.

Time Complexity graph

Polynomial Interpolation - Time.png

Space Complexity graph

Polynomial Interpolation - Space.png

Pareto Decades graph

Polynomial Interpolation - Pareto Frontier.png