Search Results - sparse matrix algorithm for network solution by tearing

Sparsity considerations in network solution by tearing by Hajj, I.

“… In this paper it is shown that all recently proposed sparse matrix algorithms for network solution by tearing belong to a set of algorithms which is derived by applying block matrix elimination…”
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Distributed algebraic tearing and interconnecting techniques by Tselepidis, N. A., Filelis-Papadopoulos, C. K., Gravvanis, G. A.

“… information, namely algebraic tearing and interconnecting methods. Hence, they are applicable to a wide variety of problems as they are based only on the adjacency graph corresponding to the coefficient matrix…”
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Solution of large-scale networks by tearing by Wu, F.

“… A solution algorithm based on LU decomposition is presented. If the network may be "torn apart," then the computations at the subnetwork level can be carried out independently…”
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A multilevel diakoptics algorithm for large scale networks by Yu, Fu-Chaw, Wu, Yan-Pei

“…]. In this paper, tearing is applied to hierarchically described networks and a new algorithm based on Gaussian elimination is presented…”
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Solution of Large, Sparse Systms in Design and Analysis by Wexler, A., Dobrowalski, J. A., Hammad, A. E.

“…Presents some basic principles of the solution of large systems of simultaneous linear equations by sparsity methods, particularly Zollenkopf's bifactorisation method, and describes diakoptics…”
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Sparsity in diakoptic algorithms by Alvarado, F.L., Reitan, D.K., Bahari-Kashani, M.

“…Algorithms for network analysis by tearing are studied by determining their orders of computational complexity and comparing it to the computational complexity of the solution of the untorn network…”
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A latent macromodular approach to large-scale sparse networks by Rabbat, N., Hsueh Hsieh

“… sparse networks with highly repetitive subnetworks. An efficient algorithm requiring only the updating of a small portion of the Jacobian matrix when individual…”
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Diakoptic and generalized hybrid analysis by Chua, L., Li-Kuan Chen

“…Two elementary approaches are presented for analyzing large-scale linear resistive networks by first tearing them apart, solving the torn subnetworks separately, and then interconnecting the results…”
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