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Some improvements for two-sided bounds on the inverse of diagonally dominant tridiagonal matrices |
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| Authors: | R. Peluso T. Politi |
| Affiliation: | Dipartimento Interuniversitario di Matematica, Università di Bari, Politecnico di Bari, Via E. Orabona 4, I-70125 Bari, Italy |
| Abstract: | In this paper, we obtain lower and upper bounds for the entries of the inverses of diagonally dominant tridiagonal matrices. First of all we derive the bounds for off-diagonal elements of the inverse as a function of the diagonal ones, then we improve the two-sided bounds for the diagonal entries obtaining sharper lower and upper bounds for all the elements of the inverse. |
| Keywords: | Tridiagonal matrices Inverses of tridiagonal matrices Diagonal dominance Bounds of entries |
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