Daitch; Spielman (Inexact Laplacian Solver SDD Systems Solvers)

From Algorithm Wiki
Revision as of 07:56, 10 April 2023 by Admin (talk | contribs)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search

Time Complexity

$O(n^{5/4} (\log^{2} (n)$ \log\log n)^{3/4} \log({1}/ϵ))

Space Complexity

$O(n)$ words

(Derived: Uses an auxiliary sparse Cholesky decomposition which has $O(n)$ non-zero entries)

Description

Support Theory (Trusses and Stiffness Matrices)

Approximate?

Approximate

Approximation Factor: \epsilon

Randomized?

No, deterministic

Model of Computation

Word RAM

Year

2007

Reference

https://arxiv.org/abs/cs/0703119