## Accelerated Computation of Multiphase Short Circuit Summary for Unbalanced Distribution Systems Using the Concept of Selected Inversion

- Jean-Sebastien Lacroix, Ilhan Kocar, Marc Belletete
- IEEE Transactions on Power Systems
- 2013

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@article{Lin2011SelInvA, title={SelInv - An Algorithm for Selected Inversion of a Sparse Symmetric Matrix}, author={Lin Lin and Chao Yang and Juan C. Meza and Jianfeng Lu and Lexing Ying and E Weinan}, journal={ACM Trans. Math. Softw.}, year={2011}, volume={37}, pages={40:1-40:19} }

- Published 2011 in ACM Trans. Math. Softw.
DOI:10.1145/1916461.1916464

We describe an efficient implementation of an algorithm for computing selected elements of a general sparse symmetric matrix A that can be decomposed as A = LDLT, where L is lower triangular and D is diagonal. Our implementation, which is called SelInv, is built on top of an efficient supernodal left-looking LDLT factorization of A. We discuss how computational efficiency can be gained by making use of a relative index array to handle indirect addressing. We report the performance of SelInv on… CONTINUE READING

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