Vandermonde Matrix (Linear System)
Revision as of 11:18, 15 February 2023 by Admin (talk | contribs) (Created page with "{{DISPLAYTITLE:Vandermonde Matrix (Linear System)}} == Description == In this case, we restrict $A$ to be a Vandermonde matrix. == Related Problems == Generalizations: General Linear System Related: Sparse Linear System, Positive Definite, Hermitian Matrix, Non-Definite, Symmetric Matrix, Toeplitz Matrix == Parameters == <pre>n: number of variables and number of equations m: number of nonzero entries in matrix k: ratio between largest and sma...")
Description
In this case, we restrict $A$ to be a Vandermonde matrix.
Related Problems
Generalizations: General Linear System
Related: Sparse Linear System, Positive Definite, Hermitian Matrix, Non-Definite, Symmetric Matrix, Toeplitz Matrix
Parameters
n: number of variables and number of equations m: number of nonzero entries in matrix k: ratio between largest and smallest eigenvalues
Table of Algorithms
Name | Year | Time | Space | Approximation Factor | Model | Reference |
---|---|---|---|---|---|---|
Bjorck-Pereyra | 1970 | $O(n^{2})$ | $O(n^{2})$ total | Exact | Deterministic | Time |
Time Complexity graph
Error creating thumbnail: Unable to save thumbnail to destination
Space Complexity graph
Error creating thumbnail: Unable to save thumbnail to destination
Pareto Decades graph
Error creating thumbnail: Unable to save thumbnail to destination