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- W2200097612 abstract "For an $ntimes n$ balanced symmetric matrix $T=(t_{i,j})$ with positive elements satisfying $t_{i,i}= sum_{jneq i} t_{i,j}$ and certain bounding conditions, we propose to use the matrix $S=(s_{i,j})$ to approximate its inverse, where $s_{i,j}=delta_{i,j}/t_{i,i}-1/t_{..}$, $delta_{i,j}$ is the Kronecker delta function, and $t_{..}=sum_{i,j=1 }^{n}(1-delta_{i,j}) t_{i,j}$. An explicit bound on the approximation error is obtained, showing that the inverse is well approximated to order $1/(n-1)^2$ uniformly." @default.
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- W2200097612 date "2012-02-06" @default.
- W2200097612 modified "2023-09-26" @default.
- W2200097612 title "Approximating the inverse of a balanced symmetric matrix with positive elements" @default.
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- W2200097612 doi "https://doi.org/10.48550/arxiv.1202.1058" @default.
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