Using the implicit Gauss-Cholesky algorithm the authors give a method for solving linear systems with an M -matrix. The number of multiplications needed by the algorithm is O(n 3 /3) . An application to an open Leontief static input-output model is presented together with some numerical results.
Torriero, A., Abaffy, J., Bertocchi, M., Perturbations of M-matrices via ABS methods and their applications to input-output analysis, <<APPLIED MATHEMATICS AND COMPUTATION>>, 1998; 94 (2-3): 145-170. [doi:10.1016/S0096-3003(97)10085-6] [http://hdl.handle.net/10807/43525]
Perturbations of M-matrices via ABS methods and their applications to input-output analysis
Torriero, Anna;
1998
Abstract
Using the implicit Gauss-Cholesky algorithm the authors give a method for solving linear systems with an M -matrix. The number of multiplications needed by the algorithm is O(n 3 /3) . An application to an open Leontief static input-output model is presented together with some numerical results.
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