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SIAMSC
2010
215views more  SIAMSC 2010»
13 years 8 months ago
A Fast Algorithm for Sparse Reconstruction Based on Shrinkage, Subspace Optimization, and Continuation
We propose a fast algorithm for solving the ℓ1-regularized minimization problem minx∈Rn µ x 1 + Ax − b 2 2 for recovering sparse solutions to an undetermined system of linea...
Zaiwen Wen, Wotao Yin, Donald Goldfarb, Yin Zhang
SIAMSC
2010
142views more  SIAMSC 2010»
13 years 8 months ago
Nested Iteration and First-Order System Least Squares for Incompressible, Resistive Magnetohydrodynamics
This paper develops a nested iteration algorithm to solve time-dependent nonlinear systems of partial differential equations. For each time step, Newton’s method is used to form...
J. H. Adler, Thomas A. Manteuffel, Stephen F. McCo...
SIAMSC
2010
125views more  SIAMSC 2010»
13 years 8 months ago
A Parallel Geometric Multigrid Method for Finite Elements on Octree Meshes
Abstract. In this article, we present a parallel geometric multigrid algorithm for solving elliptic partial differential equations (PDEs) on octree based conforming finite elemen...
Rahul S. Sampath, George Biros
SIAMSC
2010
116views more  SIAMSC 2010»
13 years 8 months ago
Recursively Accelerated Multilevel Aggregation for Markov Chains
A recursive acceleration method is proposed for multiplicative multilevel aggregation algorithms that calculate the stationary probability vector of large, sparse, and irreducible ...
Hans De Sterck, K. Miller, G. Sanders, M. Winlaw
SIAMSC
2010
120views more  SIAMSC 2010»
13 years 8 months ago
Weighted Matrix Ordering and Parallel Banded Preconditioners for Iterative Linear System Solvers
The emergence of multicore architectures and highly scalable platforms motivates the development of novel algorithms and techniques that emphasize concurrency and are tolerant of ...
Murat Manguoglu, Mehmet Koyutürk, Ahmed H. Sa...