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The second root of all square matrices that have different eigenvalues are achieved.
Better conditioned bilinear differentiation matrices that have better performance are also obtained.
The focus is placed on identifying successive discrete transition matrices that have the same eigenvalues as the original transition matrices.
We show how this factorization can be very efficient for preconditioning matrices that have a large skew component.
In the considered example, there are five possible cost matrices that have to be optimised by the Hungarian algorithm.
In this paper we study a class of infinite matrices that have many properties analogous to those of finite Toeplitz matrices.
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The H-matrix is a class of the important matrices that has many applications.
Second, we defined the P-value as the number of random matrices that had an M value equal or higher than the value obtained for the real matrix.
Second, we defined the P-value as the proportion of random matrices that had a H2'value equal or higher than the value obtained for the real matrix.
Second, we defined the P-value as the proportion of random matrices that had a NODF value equal or higher than the value obtained for the real matrix.
Initially, the ability of human breast cancer cells to adhere to bone matrices that had been pretreated with bisphosphonates was investigated by van der Pluijm et al. [ 16].
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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