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Further, we prove that the condition numbers of diagonally preconditioned stiffness matrices are bounded independent of the matrix size.
Furthermore, we proved that the condition numbers of diagonally preconditioned stiffness matrices are bounded independent of the matrix size.
In the absence of boundaries the spectral radii of the operators for the first and second derivative matrices are bounded independent of discretization order.
Since the squares of the elements on each row or column of the two matrices are absolutely summable, the matrices are bounded in strong norm.
(i) Because of Assumption A2 and Lemma 1(i), it is easy to get the total sequences ({ P_{k}}_{k = 1}^{infty}) and ({ Q_{k}}_{k = 1}^{infty}) of matrices are bounded.
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Kittay does not explain, however, how such a matrix is bounded, or how it gives rise to specific duties.
This prevents parameter drift and ensures that the parameter matrix is bounded away from singularity.
From the proof of Theorem 3.1, the matrix is bounded for.
If the norm of the inverse matrix is bounded by a constant independent of ξ ′ and q, then also ( ξ ′, q ) ↦ M ( ξ ′, q ) − 1 is a Michlin function.
Consider Algorithm 3.7, if positive definite matrices and are bounded, then one of the following situations occurs: (i the sequence is unbounded, in which case is also unbounded; (ii there exists an index such that for any, and one of the following situations occurs: (a).
The entries of the diffusion matrix are related to the elements of Onsager matrix that are bounded by some constraints to satisfy the positive definiteness of entropy production in the system.
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matrices are described
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environments are bounded
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matrices are generated
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matrices are analyzed
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