Results 241 to 250 of about 1,481 (288)

Iterative Solution Methods and Preconditioners for Block-Tridiagonal Systems of Equations

SIAM Journal on Matrix Analysis and Applications, 1992
The authors study semicirculant preconditioners \(M\) used in CG-like iterative methods for solving linear systems \(Bu=b\) of \(n\) algebraic equations arising typically from the implicit time and finite difference spatial discretizations of initial-boundary value problems for linear systems of partial differential equations of the form \(\partial u ...
S. Holmgren, K. Otto
exaly   +2 more sources

Sparse Iterative Methods, Preconditioners for

2011
Jack Dongarra, Piotr Luszczek, Felix Wolf, Jesper Larsson Träff, Patrice Quinton, Hermann Hellwagner, Martin Fränzle, Christian Lengauer, Luis H Ceze, Kei Hiraki, Rolf Riesen, Arthur B. Maccabe, John Feo, Kamesh Madduri, Tanguy Risset, Maleq Khan, V. S. Anil Kumar, Madha V. Marathe, Paula E. Stretz, Sandhya Dwarkadas, Laxmikant V. Kalé, Edgar Solomonik, Michael Bader, Hans-Joachim Bungartz, Miriam Mehl, Thomas Huckle, Matous Sedlacek, David A Bader, Guojing Cong, Anshul Gupta, Matthias Müller, Brian Whitney, Robert Henschel, Kalyan Kumaran, Josep Torrellas, Lawrence Rauchwerger, Eric Polizzi, Markus Püschel, Franz Franchetti, Yevgen Voronenko, Frederica Darema, Ryan Newton, Amol Ghoting, Konstantin Makarychev, Xiaoye Sherry Li, James Demmel, John Gilbert, Laura Grigori, Meiyue Shao, Wen mei Hwu, David A. Bader, Guojing Cong, José Flich, Sudhakar Yalamanchili, Michael L. Scott, Jaroslaw Zola, Srinivas Aluru, Srinivas Aluru, James R. Reinders   +58 more
exaly   +2 more sources

Iteratively constructing preconditioners via the conjugate gradient method

Proceedings of the thirty-ninth annual ACM symposium on Theory of computing, 2007
We consider the problem of solving a symmetric, positive definite system of linear equations.The most well-known and widely-used method for solving such systemsis the preconditioned Conjugate Gradient method.The performance of this method depends crucially on knowing a good preconditioner matrix.We show that the Conjugate Gradient method itself ...
John Dunagan, Nicholas J. A. Harvey
openaire   +1 more source

Iterative Substructuring Preconditioners for Mortar Element Methods in Two Dimensions

SIAM Journal on Numerical Analysis, 1999
The paper is devoted to the construction of effective model grid operators (preconditioners) for classes of linear grid systems with positive operators. The suggested constructions lead to estimates of the spectral condition number like \(O(\log^2N)\); the model operators are almost spectrally equivalent to the original ones.
Achdou, Yves, Maday, Yvon, Widlund, Olof
openaire   +1 more source

PMHSS iteration method and preconditioners for Stokes control PDE-constrained optimization problems

Numerical Algorithms, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shan-Mou Cao, Zeng-Qi Wang
openaire   +2 more sources

On Single Precision Preconditioners for Krylov Subspace Iterative Methods

2008
Large sparse linear systems Ax= barise in many scientific applications. Krylov subspace iterative methods are often used for solving such linear systems. Preconditioning techniques are efficient to reduce the number of iterations of Krylov subspace methods.
Hiroto Tadano, Tetsuya Sakurai
openaire   +1 more source

On the Use of Preconditioners to Improve the Accuracy and Effectiveness of Iterative Methods to Enhance the Spatial Resolution of Radiometer Measurements

IEEE Geoscience and Remote Sensing Letters, 2021
In this letter, a new approach is proposed to ameliorate the performance of iterative gradient-like regularization schemes aimed at enhancing the spatial resolution of microwave radiometer measurements in the Hilbert space. The approach consists of preconditioning the ill-conditioned discrete problem to let the iterative gradient-based inversion ...
Matteo Alparone, Ferdinando Nunziata, Claudio Estatico, Maurizio Migliaccio   +3 more
openaire   +1 more source

Using Performance Profiles to Evaluate Preconditioners for Iterative Methods

2006
We evaluate performance profiles as a method for comparing preconditioners for iterative solvers by using them to address three questions that have previously been asked about incomplete LU preconditioners. For example, we use performance profiles to quantify the observation that if a system can be solved by a preconditioned iterative solver, then that
Michael Lazzareschi, Tzu-Yi Chen
openaire   +1 more source

Efficient Preconditioner and Iterative Method for Large Complex Symmetric Linear Algebraic Systems

East Asian Journal on Applied Mathematics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liao, Li Dan, Zhang, Guo Feng
openaire   +2 more sources

A general preconditioner accelerated SOR-type iterative method for multi-linear systems with $${\mathcal {Z}}$$-tensors

Computational and Applied Mathematics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lu-Bin Cui, Yu-Dong Fan, Yu-Tao Zheng
openaire   +1 more source