Geodesic
Analytic evaluation of the computational costs for solving systems of linear algebraic equations in multiple computing of the capacitance matrix in a~range of the dielectric permittivity of dielectrics
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXVII, Tome 428 (2014), pp. 196-207

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The effectiveness of using block LU-decomposition in multiple solution of systems of linear algebraic equations is analytically estimated. By numerical experiments it is demonstrated that a significant acceleration can be achieved. 
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     author = {R. S. Surovtsev and S. P. Kuksenko and T. R. Gazizov},
     title = {Analytic evaluation of the computational costs for solving systems of linear algebraic equations in multiple computing of the capacitance matrix in a~range of the dielectric permittivity of dielectrics},
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     pages = {196--207},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2014_428_a13/}
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R. S. Surovtsev; S. P. Kuksenko; T. R. Gazizov. Analytic evaluation of the computational costs for solving systems of linear algebraic equations in multiple computing of the capacitance matrix in a~range of the dielectric permittivity of dielectrics. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXVII, Tome 428 (2014), pp. 196-207. http://geodesic.mathdoc.fr/item/ZNSL_2014_428_a13/