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All matrix equations are solved using the Cholesky direct solver of the numerical library SuiteSparse44.
The symmetric solutions of linear matrix equations are extensively required in mathematics and engineering problems.
Linear matrix equations are derived for determining the corresponding change of coordinates and output injections.
Necessary and sufficient conditions, based upon the solution to some Lyapunov differential matrix equations, are proposed for particular cases of interest.
The governing matrix equations are derived from the standard and cracked beam elements combined with the local flexibility concept.
The governing matrix equations are derived from the standard and cracked curved beam elements combined with the local flexibility concept.
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Furthermore, a thorough study of properties about this class of matrix equations is provided.
Initially, a mesh free formulation for rectangular domains is developed and a full decomposition of matrix equations is achieved using graph product rules.
Two simultaneous matrix equations were found describing the acoustic field in the wall-driven baffled finite duct.
The Schur-decomposition for three-dimensional matrix equations is developed and used to directly solve the radiative discrete ordinates equations which are discretized by Chebyshev collocation spectral method.
Finally, the sub-system matrix equations is merged into a single system matrix equation for the entire plate by considering the compatibility condition that the two sub-plates have the same displacement and slope at the common interface.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com