Results 11 to 20 of about 411 (241)
Performance impact of precision reduction in sparse linear systems solvers [PDF]
PeerJ Computer Science, 2022 It is well established that reduced precision arithmetic can be exploited to accelerate the solution of dense linear systems. Typical examples are mixed precision algorithms that reduce the execution time and the energy consumption of parallel solvers ...
Mawussi Zounon +3 more
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Pseudoinverse preconditioners and iterative methods for large dense linear least-squares problems [PDF]
Bulletin of Computational Applied Mathematics, 2013 We address the issue of approximating the pseudoinverse of the coefficient matrix for dynamically building preconditioning strategies for the numerical solution of large dense linear least-squares problems.
Oskar Cahueñas +2 more
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Open Mathematics, 2013 AbstractMany problems arising in different fields of science and engineering can be reduced, by applying some appropriate discretization, either to a system of linear algebraic equations or to a sequence of such systems. The solution of a system of linear algebraic equations is very often the most time-consuming part of the computational process during
Zlatev Zahari, Georgiev Krassimir
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Rational Approximations in Robust Preconditioning of Multiphysics Problems
Mathematics, 2022 Multiphysics or multiscale problems naturally involve coupling at interfaces which are manifolds of lower dimensions. The block-diagonal preconditioning of the related saddle-point systems is among the most efficient approaches for numerically solving ...
Stanislav Harizanov +2 more
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The effect of near-zone preconditioning on electromagnetic integral equations of first and second kind [PDF]
Advances in Radio Science, 2013 The linear equation systems which arise from the discretization of surface integral equations are conveniently solved with iterative methods because of the possibility to employ fast integral methods like the Multilevel Fast Multipole Method.
O. Wiedenmann, T. F. Eibert
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Pragmatic solvers for 3D Stokes and elasticity problems with heterogeneous coefficients: evaluating modern incomplete LDLT preconditioners [PDF]
Solid Earth, 2020 The need to solve large saddle point systems within computational Earth sciences is ubiquitous. Physical processes giving rise to these systems include porous flow (the Darcy equations), poroelasticity, elastostatics, and highly viscous flows (the Stokes
P. Sanan +3 more
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Reusing Preconditioners in Projection Based Model Order Reduction Algorithms
IEEE Access, 2020 Dynamical systems are pervasive in almost all engineering and scientific applications. Simulating such systems is computationally very intensive. Hence, Model Order Reduction (MOR) is used to reduce them to a lower dimension.
Navneet Pratap Singh, Kapil Ahuja
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Generalized Structure Preserving Preconditioners for Frame-Based Image Deblurring
Mathematics, 2020 We are interested in fast and stable iterative regularization methods for image deblurring problems with space invariant blur. The associated coefficient matrix has a Block Toeplitz Toeplitz Blocks (BTTB) like structure plus a small rank correction ...
Davide Bianchi, Alessandro Buccini
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Algorithms, 2017 A modification to an existing iterative method for computing zeros with unknown multiplicities of nonlinear equations or a system of nonlinear equations is presented.
Fayyaz Ahmad +6 more
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Вестник КазНУ. Серия математика, механика, информатика, 2020 This article is devoted to the construction and study of the finite element method for solving a two-dimensional nonlinear equation of elliptic type.
D.R. Baigereyev +2 more
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