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On diagonal dominance arguments for bounding $\Vert A^{-1}\Vert_\infty$. (English) Zbl 0341.15002

##### MSC:
 15A09 Matrix inversion, generalized inverses 15A60 Applications of functional analysis to matrix theory
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##### References:
 [1] Ahlberg, J. H.; Nilson, E. N.: Convergence properties of the spline fit. J. SIAM 11, 95-104 (1963) · Zbl 0196.48701 [2] Fan, K.: Topological proof for certain theorems on matrices with nonnegative elements. Monatsh. math. 62, 219-237 (1958) · Zbl 0081.25104 [3] Fieldler, Miroslav; Pták, Vlastimil: On matrices with non-positive off-diagonal elements and positive principal minors. Czech math. J. 12, No. No. 87, 382-400 (1962) [4] Ostrowski, A. M.: Über die determinanten mit überwiegender hauptdiagonale. Comment. math. Helv. 10, 69-96 (1937) · Zbl 63.0035.01 [5] Varah, J. M.: A lower bound for the smallest singular value of a matrix. Linear algebra appl. 11, 3-5 (1975) · Zbl 0312.65028 [6] Varga, Richard S.: Matrix iterative analysis. (1962) [7] Varga, Richard S.: On recurring theorems on diagonal dominance. Linear algebra appl. 13, No. 1, 2, 1-9 (1976) · Zbl 0336.15007