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Multigrid Incomplete Factorization Methods in Krylov Subspaces
Journal of Mathematical Sciences, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Macromodelling oscillators using krylov-subspace methods
Asia and South Pacific Conference on Design Automation, 2006., 2006We present an efficient method for automatically extracting unified amplitude/phase macromodels of arbitrary oscillators from their SPICE-level circuit descriptions. Such comprehensive oscillator macromodels are necessary for accuracy when speeding up simulation of higher-level circuits/systems, such as PLLs, in which oscillators are embedded. Standard
Xiaolue Lai, Jaijeet Roychowdhury
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Practical Implementation of Krylov Subspace Spectral Methods
Journal of Scientific Computing, 2007Krylov subspace spectral methods have been shown to be high-order accurate in time and more stable than time-stepping methods but also more difficult for an efficient implementation. The author shows how these methods should be used in practical solvers by exploiting the simple structure of differential operators.
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A Krylov subspace method for large estimation problems
1999 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings. ICASSP99 (Cat. No.99CH36258), 1999Computing the linear least-squares estimate of a high-dimensional random quantity given noisy data requires solving a large system of linear equations. In many situations, one can solve this system efficiently using the conjugate gradient (CG) algorithm. Computing the estimation error variances is a more intricate task.
Michael K. Schneider, Alan S. Willsky
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On Coarse Grid Correction Methods in Krylov Subspaces
Journal of Mathematical Sciences, 2018The authors consider the numerical solution of large, sparse, and ill-conditioned systems of linear algebraic equations (SLAEs) originated from a boundary value problem with Dirichlet boundary conditions for a convection-diffusion equation based on a finite volume method of second order derived by the second author [J. Math. Sci., New York 224, No.
Gurieva, Y. L., Il'in, V. P.
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Chapter 6: Krylov Subspace Methods
Matrix Analysis and Computations, 2021semanticscholar +1 more source
Global extended Krylov subspace methods for large-scale differential Sylvester matrix equations
Journal of Applied Mathematics and Computation, 2019El Mostafa Sadek +3 more
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Theory of Krylov Subspace Methods
Krylov Subspace Methods with Application in Incompressible Fluid Flow Solvers, 2020semanticscholar +1 more source
Krylov subspace methods for functions of fractional differential operators
Mathematics of Computation, 2017I. Moret, P. Novati
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