2016
Sparsified Cholesky and multigrid solvers for connection laplacians
Kyng R, Lee Y, Peng R, Sachdeva S, Spielman D. Sparsified Cholesky and multigrid solvers for connection laplacians. 2016, 842-850. DOI: 10.1145/2897518.2897640.Peer-Reviewed Original ResearchSystem of equationsConnection LaplacianNonzero matrix entriesApproximate inverseLinear time algorithmMultigrid algorithmMultigrid solverLinear equationsLaplacian matrixGaussian eliminationGraph LaplacianMatrix entriesLU factorizationNonzero entriesStrong approximationOriginal matrixLinear numberEquationsLaplacianLinear timeTime algorithmNew algorithmAlgorithmCholeskyFactorization
2014
An efficient parallel solver for SDD linear systems
Peng R, Spielman D. An efficient parallel solver for SDD linear systems. 2014, 333-342. DOI: 10.1145/2591796.2591832.Peer-Reviewed Original ResearchSystem of equationsEfficient parallel solverLinear systemsLinear equationsLow-stretch spanning treesSDD matrixDominant matricesParallel solverInput matrixSparse matricesFast algorithmPolylogarithmic timeParallel algorithmEquationsFirst parallel algorithmSpanning treeLinear workAlgorithmMatrixSparsifiersSolverInverseSystem