Geodesic
Diagonally dominant matrices
Czechoslovak Mathematical Journal, Tome 17 (1967) no. 3, pp. 420-433
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DOI : 10.21136/CMJ.1967.100787
Classification : 15.30 
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Fiedler, Miroslav; Pták, Vlastimil. Diagonally dominant matrices. Czechoslovak Mathematical Journal, Tome 17 (1967) no. 3, pp. 420-433. doi: 10.21136/CMJ.1967.100787

[1] С. Berge: Theorie des graphes et ses applications. Dunod, Paris 1958. | MR

[2] M. Fiedler V. Pták: On matrices with non-positive off-diagonal elements and positive principal minors. Czech. Math. J. 12 (87) (1962), 382-400. | MR

[3] Д. M. Котелянский: Оценки для определителей матриц с преобладающей главной диагональю. ИАН, сер. матем., 20 (1956), 137-144. | MR | Zbl

[4] М. S. Lynn: On the Schur product of $H$-matrices and non-negative matrices, and related inequalities. Proc. Cambr. Phil. Soc. 60 (1964), 425 - 431. | DOI | MR | Zbl

[5] A. Ostrowski: Determinanten mit überwiegender Hauptdiagonale und die absolute Konvergenz von linearen Iterationsprozessen. Commentarii Math. Helv. 30 (1956), 175-210. | DOI | MR | Zbl

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