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» Preconditioned iterative methods on sparse subspaces
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SIAMREV
2010
119views more  SIAMREV 2010»
13 years 2 months ago
From Functional Analysis to Iterative Methods
We examine condition numbers, preconditioners, and iterative methods for finite element discretizations of coercive PDEs in the context of the fundamental solvability result, the L...
Robert C. Kirby
CPHYSICS
2010
184views more  CPHYSICS 2010»
13 years 7 months ago
Parallel Newton-Krylov-Schwarz algorithms for the three-dimensional Poisson-Boltzmann equation in numerical simulation of colloi
We investigate fully parallel Newton-Krylov-Schwarz (NKS) algorithms for solving the large sparse nonlinear systems of equations arising from the finite element discretization of ...
Feng-Nan Hwang, Shang-Rong Cai, Yun-Long Shao, Jon...
CORR
2010
Springer
96views Education» more  CORR 2010»
13 years 7 months ago
LSMR: An iterative algorithm for sparse least-squares problems
Abstract. An iterative method LSMR is presented for solving linear systems Ax = b and leastsquares problem min Ax - b 2, with A being sparse or a fast linear operator. LSMR is base...
David Fong, Michael Saunders
EUROPAR
2011
Springer
12 years 7 months ago
A Bit-Compatible Parallelization for ILU(k) Preconditioning
Abstract. ILU(k) is a commonly used preconditioner for iterative linear solvers for sparse, non-symmetric systems. It is often preferred for the sake of its stability. We present T...
Xin Dong 0004, Gene Cooperman
CORR
2010
Springer
127views Education» more  CORR 2010»
13 years 7 months ago
MINRES-QLP: a Krylov subspace method for indefinite or singular symmetric systems
Abstract. CG, SYMMLQ, and MINRES are Krylov subspace methods for solving large symmetric systems of linear equations. CG (the conjugate-gradient method) is reliable on positive-def...
Sou-Cheng T. Choi, Christopher C. Paige, Michael A...