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It reduces the condition number of the original ill-conditioned matrix exponentially.
Excluding the small cells also reduces the condition number of the discretization matrix.
It is clear that, after our resampling procedure, the diagonal preconditioner clusters the eigenvalues of the preconditioned FD channel matrix closer to one than without preconditioning, which further reduces the condition number from 23.36 to 7.17.
We also propose a novel hybrid-grid for intersecting fractures, for the FPS method, which reduces the condition number of the global linear system and leads to larger time steps for tracer transport.
It is optimal in the sense that it reduces the condition number from O(h−2), which can be obtained from other ILU-type preconditioners, to O(h−1).
Further, this theorem reduces the condition s 2 q < 1 to the condition s q < 1. Theorem 5.2 Let ( X, d ) be a b-metric space and T be a weak Jungck -contractive mapping such that φ is subadditive.
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However, you can create a diet that reduces the conditions that can make your AF worse.
But we have not succeed in reducing the condition to in Theorem 1.2.
We adopt the ideas of selection theorems to reduce the condition that the right-hand side has convex values.
(vi) We adopt the ideas of selection theorems to reduce the condition that the right-hand side has convex values.
Moreover, when computing the inverse, choosing a larger α can reduce the condition number of the matrix to be inverted.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com