Iterative Methods and Preconditioning for Large and Sparse Linear Systems with Applications by Daniele Bertaccini, Fabio Durastante
Iterative Methods and Preconditioning for Large and Sparse Linear Systems with Applications Daniele Bertaccini, Fabio Durastante ebook
Publisher: Taylor & Francis
This paper introduces several strategies to deal with pivot blocks in multi-level block incomplete LU factorization (BILUM) preconditioning techniques. Krylov subspace methods Part I 7. However, it is well known that the key factor for accelerating, or even allowing for, convergence is the preconditioner. ( 2017) Low-Rank Correction Methods for Algebraic Domain DecompositionPreconditioners. Iterative methods are currently the solvers of choice for large sparse linearsystems of equations. (2013) A SBS-BD based solver (2011) An iterative method to solve acoustic scattering problems using a boundary integral equation. Background in linear algebra 2. In this PhD thesis, we focus on preconditioned iterative solvers for large sparse linear systems, and more specifically on solvers based on Krylov subspace meth- ods. The research on preconditioning techniques has characterized the last two decades. Linear systems, Krylov subspace methods, sparse linear algebra, randomization,preconditioning,. Discretization of partial differentialequations 3. (2017) A residual based sparse approximate inverse preconditioning procedure for large sparse linear systems. WangA unified framework for the construction of various matrix multisplitting iterative methods for large sparse system os linear equations. Random Butterfly This operation is at the heart of manyapplications in high-performance computing (HPC) and is usually solved factorization time in pivoting even for a large random matrix of size 10, 000 × 10, 000 . Methods that take advantage of current highly parallel architectures and apply them to solvers used in major scientific applications. Abstract— The efficiency of several preconditioned. Methods related to the normal equations 9. Numerical Linear Algebra with Applications 24:2, e2080. Conjugate Gradient (PCG) schemes for solving of large sparse linear systems arising from application of second order cone programming in computational plasticity problems is studied. CAREER: Preconditioning Large, Sparse Linear Systems: Theory and Practice particular application; the initial focus will be on preconditioners that are "Using performance profiles to evaluate preconditioners for iterative methods," Lecture Notes in Computer Science (Proceedings of ICCSA 2006), v.3982, 2006, p. Krylov subspace methods Part II 8.
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