Generalized capacitance matrix theorems and algorithm for solving ...
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Generalized capacitance matrix theorems and algorithm for solving ...
This capacitance matrix algorithm is derived directly from the ShermanâMorrisonâ. Woodbury formula and, therefore, it can be applied only when A, B, and C are ...
SIAM J. SCI. COMPUT. Vol. 19, No. 3, pp. 1024–1045, May 1998
c 1998 Society for Industrial and Applied Mathematics
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GENERALIZED CAPACITANCE MATRIX THEOREMS AND ALGORITHM FOR SOLVING LINEAR SYSTEMS∗ SHANG-HONG LAI† AND BABA C. VEMURI‡ Abstract. The capacitance matrix method has been widely used as an efficient numerical tool for solving the boundary value problems on irregular regions. Initially, this method was based on the Sherman–Morrison–Woodbury formula, an expression for the inverse of the matrix (A + UVT ) with A ∈
