Spielman, Teng (Inexact Laplacian Solver SDD Systems Solvers)

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Time Complexity

$O(m \log^c n)$

Space Complexity

$O(n)$ words

(Derived: Uses spanning trees and sparse Cholesky factorization which both take $O(n)$ space)

Description

Spectral Sparsification

Approximate?

Approximate

Approximation Factor: \epsilon

Randomized?

No, deterministic

Model of Computation

Word RAM

Year

2004

Reference

https://dl.acm.org/doi/pdf/10.1145/1007352.1007372?casa_token=k60CrC_UJp0AAAAA:yGVve4fRNbftRM0P7aaEbq8OIlxa4nRy8-CjZErlGrBwBfPEt0ECHGYc8Ei48rdA9W9NoY73xC2W