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A finite dimensional analog of the Krein formula | | I. A. Shereshevskii
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25 Sep 2002 | | Journal: | J. Nonlinear Math. Phys. 8 (2001) no. 4, 446-457 | | Subject: | Mathematical Physics; Analysis of PDEs | math-ph math.AP math.MP | | Abstract: | I offer a simple and useful formula for the resolvent of a small rank perturbation of large matrices. I discuss applications of this formula, in particular, to analytical and numerical solving of difference boundary value problems. I present examples connected with such problems for the difference Laplacian and estimate numerical efficiency of the corresponding algorithms. | | Source: | arXiv, math-ph/0209055 | | Services: | Forum | Review | PDF | Favorites | |
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