Geodesic
On the choice of iteration parameters in the Stone incomplete factorization
Applications of Mathematics, Tome 28 (1983) no. 4, pp. 295-306.

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The paper is concerned with the iterative solution of sparse linear algebraic systems by the Stone incomplete factorization. For the sake of clarity, the algorithm of the Stone incomplete factorization is described and, moreover, some properties of the method are derived in the paper. The conclusion is devoted to a series of numerical experiments focused on the choice of iteration parameters in the Stone method. The model problem considered showe that we can, in general, choose appropriate values of the parameters successfully without a deeper a priori analysis of the linear system solved.
DOI : 10.21136/AM.1983.104038
Classification : 35J25, 65F10, 65F50, 65N20, 65N22
Keywords: Stone incomplete factorization; choice of parameters; Stone’s method; large sparse systems; Numerical experiments 
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     author = {Segeth, Karel},
     title = {On the choice of iteration parameters in the {Stone} incomplete factorization},
     journal = {Applications of Mathematics},
     pages = {295--306},
     publisher = {mathdoc},
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     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1983.104038/}
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Segeth, Karel. On the choice of iteration parameters in the Stone incomplete factorization. Applications of Mathematics, Tome 28 (1983) no. 4, pp. 295-306. doi : 10.21136/AM.1983.104038. http://geodesic.mathdoc.fr/articles/10.21136/AM.1983.104038/

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