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New methods are described for the solution of large systems of linear equations for nonsymmetric matrices which arise in molecular calculations.
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The issue of the mass matrix which arises with vertex-centered finite volume schemes is addressed.
This is chiefly due to the matrix singularity of the normal equation matrix, which arises from the collinearity of the rotation rate with either latitude or longitude of the Euler pole.
The results show that the shape misfit stresses between the matrix and reinforcement, which arise from the difference in thermal expansion coefficient between the two phases, are reduced by the plastic deformation, but is re-generated by heat treatment.
Analysis was carried on the sequential performance of preconditioned JD for the spectral decomposition of large, sparse matrices, which originate in the numerical integration of partial differential equations arising in physical and engineering problems.
It is possible to speed up algorithms for matrices with special structures, which arise commonly in applications.
This approach also unifies and generalizes other matrix models, such as the Eguchi Yang matrix model, matrix models for bundles over P1, and Chern Simons matrix models for lens spaces, which arise as various limits of our general result.
The authors attributed the ability of CuA in azurin to remain valence-delocalized, even with the loss of such a strong ligand, to the large electronic coupling matrix element, which arises from the strong and direct Cu Cu bond.
In addition to interconnected pores implied in Case I-R study, coal matrix is believed to have finer and, possibly, isolated (blind) pores, which arise from turbostratic packing of the fundamental building blocks (Ozdemir 2004).
This paper reports the success of the preconditioned biconjugate gradient (PBCG) and the conjugate gradient square (CGS) algorithms in solving the matrix equations resulting from the discretization of systems of population rate equations which arise in nonequilibrium kinetics modeling.
Our method is based on the analysis of pathway fragments, which arise as the extreme pathways of a submatrix of the stoichiometry matrix formed by taking a subset of its rows.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com